PHARM. BSN215 SHERPATH QUESTIONS AND VERIFIED
SOLUTIONS
Which type of fraction is 1/9? - ✔✔Proper fraction Proper fractions have a numerator that
is smaller than the denominator. Because 1 is smaller than 9, 1/9 is a proper fraction.
Convert the fraction 5/2 to a mixed number. Record the answer using a whole number and
a fraction including a space after the whole number. - ✔✔2 1/2 Step 1: Divide the
numerator by the denominator, 5÷2= 2 remainder 15÷2= 2 remainder 1. Step 2: Place
remainder over denominator and write this proper fraction beside the whole number found
in step 1, 2 1/2 Convert the mixed number 2 1/4 to an improper fraction. Record the answer
in the format, numerator/denominator. - ✔✔9/4 Step 1: Multiply the denominator by the
whole number, 4×2 = 8 Step 2: Add the product to the numerator, 8 + 1 = 98 + 1 = 9. Step 3:
Place the sum over the denominator, 9/4 39/15 - ✔✔The least common denominator of the
fractions 2 3/5 and 6/15 is 15, which is the denominator of the second fraction. So, now we
need to calculate 2 3/5 = ?/15 Step 1: Convert the mixed number to an improper fraction,
5×2=10 10+3=13 2 3/5 = 13/5 Step 2: Then, divide the least common denominator by the
denominator of the improper fraction, 15÷5=3 Step 3: Multiply the quotient by the
numerator, 3×13=39 Step 4: Place the product over the least common denominator, 39/15
6/8 - ✔✔Step 1: Divide the lowest common denominator by the denominator of the
fraction, 8÷4=2 Step 2: Multiply the quotient by the numerator, 3×2=6. Step 3: Place the
product over the lowest common denominator, 6/8 Convert the improper fraction 7/4 to a
mixed number. Record the answer using a whole number and a fraction including a space
after the whole number. __ - ✔✔1 3/4 Step 1: Divide the numerator by the denominator,
7÷4=1 remainder 37÷4=1 remainder 3 Step 2: Place remainder over denominator and write
this proper fraction beside the whole number found in step 1, 1 3/4 Convert the mixed
number 4 3/4 to an improper fraction. Record the answer as a fraction. __ - ✔✔19/4 Step 1:
Multiply the denominator by the whole number, 4×4 = 16 Step 2: Add the product to the
numerator, 16 + 3 = 19 Step 3: Place the sum over the denominator, 19/4 Calculate the
equivalent fraction of 2/7, with the lowest common denominator of 21. 2/7= ?/21. Record
the answer as a fraction. __ - ✔✔6/21 Step 1: Divide the lowest common denominator by
the denominator of the fraction, 21÷7=3 Step 2: Multiply the quotient by the numerator,
3×2=6 Step 3: Place the product over the lowest common denominator, 6/21 Convert 1 3/7
to an equivalent fraction that shares a lowest common denominator with 7/28. Record the
answer without reducing the fraction. __ - ✔✔40/28 The lowest common denominator of
the fractions 1 3/7 and 7/28 is 28, which is the denominator of the second fraction. So, now
we need to calculate 1 3/7= ?/28 Step 1: Convert the mixed number to an improper
fraction, 7×1=7 7+3=10 1 3/7= 10/7 Step 2: Then, divide the lowest common denominator
, by the denominator of the improper fraction, 28÷7=4 Step 3: Multiply the quotient by the
numerator, 4×10=40 Step 4: Place the product over the lowest common denominator,
40/28 Which fraction would be the result of reducing 6/10 to its lowest terms? Record the
answer as a fraction. __ - ✔✔3/5 Step 1: 6÷2=3 Step 2: 10÷2=5 Which is the lowest
common denominator of the fractions 6/10 and 2/5? Record the answer using a whole
number. __ - ✔✔5 Both denominators, 10 and 5, can be evenly divided by 5. So, 5 is the
lowest common denominator. Calculate the sum of: 3/10 + 2/10 - ✔✔1/2 The first step is
to add the numerators: 3 + 2/10 The next step is to place the sum over the common
denominator and reduce to lowest terms: 5/10 = 1/2 Calculate the sum of: 2/3 + 1/4 -
✔✔11/12 The first step is to multiply denominators to find the lowest common
denominator. 3 × 4 = 12 The second step is to change each fraction to an equivalent
fraction with 12 as the denominator. 2/3 = 8/12 and 1/4 = 3/12 The third step is to place the
sum over the lowest common denominator. 8 + 3/12 = 11/12 Calculate the sum of: 2 1/2 +
5 2/5 - ✔✔7 9/10 Step 1: Multiply denominators to find the lowest common denominator. 2
× 5 = 10 Step 2: Change each fraction to an equivalent fraction with 10 as the denominator.
1/2 = 5/10 and 2/5 = 4/10 Step 3: Place the sum of the numerators over the lowest common
denominator and write the fraction next to the sum of the whole numbers. 2 5/10 + 5 4/10 =
7 9/10 Calculate the difference of: 9/8 - 7/8 - ✔✔1/4 Step 1: Place the numerator of the
subtrahend (the number being subtracted) from that of the minuend (the number from
which it is subtracted). 9−7/8 Step 2: Next place the difference over the common
denominator and reduce to the lowest terms. 2/8 = 1/4 (reduced to lowest terms)
Calculate the difference of: 4/15 - 2/45 - ✔✔2/9 Change each fraction to its equivalent with
45 as the lowest common denominator. Step 1: 4/15 = 12/45 Step 2: 12/45 - 2/45 Step 3: 12
- 2/45 = 10/45 Step 4: 10/45 = 2/9 (reduced to lowest terms) Calculate the difference of : 14
3/16 - 5 1/8 - ✔✔9 1/16 Determine the lowest common denominator, which is 16. Change
each fraction to its equivalent with 16 as the denominator. Step 1: 1/8 = 2/16 Step 2: 14
3/16 - 5 2/16 Step 3: 14 3/16 - 5 2/16 = 9 1/16 Calculate the product of: 5/4 × 4/10 - ✔✔1/2
Multiply the numerators and the denominators. Place the product of the numerators over
the product of the denominators. Step 1: 5 × 4/4 × 10 = 20/40 Step 2: 20/40 = 1/2 (reduced
to lowest terms) Calculate the product of 3 3/4 × 2 2/3 - ✔✔10 Step 1: Change each mixed
number to an improper fraction. 3 3/4= 15/4 and 2 2/3= 8/3 Step 2: Multiply the numerators
and denominators and reduce to the lowest terms. 15/4 × 8/3 = 15 × 8/4 × 3 = 120/12 = 10
Calculate the quotient of: 100/25 ÷ 25/5 - ✔✔4/5 The first step is to invert (or turn upside
down) the divisor. 100/25 × 5/25 = Next, reduce the fractions by canceling, and then
multiply the numerators and the denominators. Calculate the quotient of: 300//1 -
✔✔1 Step 1: Rewrite the complex fraction as a division problem. 300/5 ÷ 60/1 = Step 2:
SOLUTIONS
Which type of fraction is 1/9? - ✔✔Proper fraction Proper fractions have a numerator that
is smaller than the denominator. Because 1 is smaller than 9, 1/9 is a proper fraction.
Convert the fraction 5/2 to a mixed number. Record the answer using a whole number and
a fraction including a space after the whole number. - ✔✔2 1/2 Step 1: Divide the
numerator by the denominator, 5÷2= 2 remainder 15÷2= 2 remainder 1. Step 2: Place
remainder over denominator and write this proper fraction beside the whole number found
in step 1, 2 1/2 Convert the mixed number 2 1/4 to an improper fraction. Record the answer
in the format, numerator/denominator. - ✔✔9/4 Step 1: Multiply the denominator by the
whole number, 4×2 = 8 Step 2: Add the product to the numerator, 8 + 1 = 98 + 1 = 9. Step 3:
Place the sum over the denominator, 9/4 39/15 - ✔✔The least common denominator of the
fractions 2 3/5 and 6/15 is 15, which is the denominator of the second fraction. So, now we
need to calculate 2 3/5 = ?/15 Step 1: Convert the mixed number to an improper fraction,
5×2=10 10+3=13 2 3/5 = 13/5 Step 2: Then, divide the least common denominator by the
denominator of the improper fraction, 15÷5=3 Step 3: Multiply the quotient by the
numerator, 3×13=39 Step 4: Place the product over the least common denominator, 39/15
6/8 - ✔✔Step 1: Divide the lowest common denominator by the denominator of the
fraction, 8÷4=2 Step 2: Multiply the quotient by the numerator, 3×2=6. Step 3: Place the
product over the lowest common denominator, 6/8 Convert the improper fraction 7/4 to a
mixed number. Record the answer using a whole number and a fraction including a space
after the whole number. __ - ✔✔1 3/4 Step 1: Divide the numerator by the denominator,
7÷4=1 remainder 37÷4=1 remainder 3 Step 2: Place remainder over denominator and write
this proper fraction beside the whole number found in step 1, 1 3/4 Convert the mixed
number 4 3/4 to an improper fraction. Record the answer as a fraction. __ - ✔✔19/4 Step 1:
Multiply the denominator by the whole number, 4×4 = 16 Step 2: Add the product to the
numerator, 16 + 3 = 19 Step 3: Place the sum over the denominator, 19/4 Calculate the
equivalent fraction of 2/7, with the lowest common denominator of 21. 2/7= ?/21. Record
the answer as a fraction. __ - ✔✔6/21 Step 1: Divide the lowest common denominator by
the denominator of the fraction, 21÷7=3 Step 2: Multiply the quotient by the numerator,
3×2=6 Step 3: Place the product over the lowest common denominator, 6/21 Convert 1 3/7
to an equivalent fraction that shares a lowest common denominator with 7/28. Record the
answer without reducing the fraction. __ - ✔✔40/28 The lowest common denominator of
the fractions 1 3/7 and 7/28 is 28, which is the denominator of the second fraction. So, now
we need to calculate 1 3/7= ?/28 Step 1: Convert the mixed number to an improper
fraction, 7×1=7 7+3=10 1 3/7= 10/7 Step 2: Then, divide the lowest common denominator
, by the denominator of the improper fraction, 28÷7=4 Step 3: Multiply the quotient by the
numerator, 4×10=40 Step 4: Place the product over the lowest common denominator,
40/28 Which fraction would be the result of reducing 6/10 to its lowest terms? Record the
answer as a fraction. __ - ✔✔3/5 Step 1: 6÷2=3 Step 2: 10÷2=5 Which is the lowest
common denominator of the fractions 6/10 and 2/5? Record the answer using a whole
number. __ - ✔✔5 Both denominators, 10 and 5, can be evenly divided by 5. So, 5 is the
lowest common denominator. Calculate the sum of: 3/10 + 2/10 - ✔✔1/2 The first step is
to add the numerators: 3 + 2/10 The next step is to place the sum over the common
denominator and reduce to lowest terms: 5/10 = 1/2 Calculate the sum of: 2/3 + 1/4 -
✔✔11/12 The first step is to multiply denominators to find the lowest common
denominator. 3 × 4 = 12 The second step is to change each fraction to an equivalent
fraction with 12 as the denominator. 2/3 = 8/12 and 1/4 = 3/12 The third step is to place the
sum over the lowest common denominator. 8 + 3/12 = 11/12 Calculate the sum of: 2 1/2 +
5 2/5 - ✔✔7 9/10 Step 1: Multiply denominators to find the lowest common denominator. 2
× 5 = 10 Step 2: Change each fraction to an equivalent fraction with 10 as the denominator.
1/2 = 5/10 and 2/5 = 4/10 Step 3: Place the sum of the numerators over the lowest common
denominator and write the fraction next to the sum of the whole numbers. 2 5/10 + 5 4/10 =
7 9/10 Calculate the difference of: 9/8 - 7/8 - ✔✔1/4 Step 1: Place the numerator of the
subtrahend (the number being subtracted) from that of the minuend (the number from
which it is subtracted). 9−7/8 Step 2: Next place the difference over the common
denominator and reduce to the lowest terms. 2/8 = 1/4 (reduced to lowest terms)
Calculate the difference of: 4/15 - 2/45 - ✔✔2/9 Change each fraction to its equivalent with
45 as the lowest common denominator. Step 1: 4/15 = 12/45 Step 2: 12/45 - 2/45 Step 3: 12
- 2/45 = 10/45 Step 4: 10/45 = 2/9 (reduced to lowest terms) Calculate the difference of : 14
3/16 - 5 1/8 - ✔✔9 1/16 Determine the lowest common denominator, which is 16. Change
each fraction to its equivalent with 16 as the denominator. Step 1: 1/8 = 2/16 Step 2: 14
3/16 - 5 2/16 Step 3: 14 3/16 - 5 2/16 = 9 1/16 Calculate the product of: 5/4 × 4/10 - ✔✔1/2
Multiply the numerators and the denominators. Place the product of the numerators over
the product of the denominators. Step 1: 5 × 4/4 × 10 = 20/40 Step 2: 20/40 = 1/2 (reduced
to lowest terms) Calculate the product of 3 3/4 × 2 2/3 - ✔✔10 Step 1: Change each mixed
number to an improper fraction. 3 3/4= 15/4 and 2 2/3= 8/3 Step 2: Multiply the numerators
and denominators and reduce to the lowest terms. 15/4 × 8/3 = 15 × 8/4 × 3 = 120/12 = 10
Calculate the quotient of: 100/25 ÷ 25/5 - ✔✔4/5 The first step is to invert (or turn upside
down) the divisor. 100/25 × 5/25 = Next, reduce the fractions by canceling, and then
multiply the numerators and the denominators. Calculate the quotient of: 300//1 -
✔✔1 Step 1: Rewrite the complex fraction as a division problem. 300/5 ÷ 60/1 = Step 2:
