MIP1501 Assignment
3 2024 (792287) -
DUE 22 July 2024
QUESTIONS WITH COMPLETE ANSWERS
[School]
[Course title]
,MIP1501 Assignment 3 2024 (792287) - DUE 22 July 2024
Question 1 (26)
1.1. Solve and explain each step to grade 6 mathematics learners the following
multiplication and division calculations involving fractions. 1.1.1. 684÷ 612 (6)
1.1.2. 714× 418 (4)
1.1.3. 316× 624 (6)
1.1.4. 817÷ 124 (4)
1.2. Modelling refers to the idea that learners build in their minds and play
out with objects or in picture form on paper sometimes to solve problems.
Give and explain at least three benefits that you may achieve in your primary
mathematics class by employing modelling. (6)
1.1. Calculations
1.1.1. 684 ÷ 612
To solve this division problem, we can simplify the fraction
684612\frac{684}{612}612684.
1. Find the greatest common divisor (GCD) of 684 and 612:
o The factors of 684 are: 1, 2, 3, 4, 6, 12, 19, 36, 57, 76, 114, 171, 228,
342, 684
o The factors of 612 are: 1, 2, 3, 4, 6, 12, 17, 18, 34, 51, 102, 153, 204,
306, 612
o The common factors are: 1, 2, 3, 4, 6, 12
, o The greatest common divisor is 12.
2. Simplify the fraction:
684÷12612÷12=5751\frac{684 \div 12}{612 \div 12} =
\frac{57}{51}612÷12684÷12=5157
3. Simplify further by dividing by their GCD (3):
57÷351÷3=1917\frac{57 \div 3}{51 \div 3} = \frac{19}{17}51÷357÷3=1719
4. Final Answer:
684612=1917\frac{684}{612} = \frac{19}{17}612684=1719
1.1.2. 714 × 418
To solve this multiplication problem, we multiply the two fractions directly:
1. Multiply the numerators:
714×418=298452714 \times 418 = 298452714×418=298452
2. Since there are no denominators to simplify, the answer remains:
714×418=298452714 \times 418 = 298452714×418=298452
1.1.3. 316 × 624
To solve this multiplication problem, we multiply the two fractions directly:
1. Multiply the numerators:
316×624=197184316 \times 624 = 197184316×624=197184
2. Since there are no denominators to simplify, the answer remains:
316×624=197184316 \times 624 = 197184316×624=197184
3 2024 (792287) -
DUE 22 July 2024
QUESTIONS WITH COMPLETE ANSWERS
[School]
[Course title]
,MIP1501 Assignment 3 2024 (792287) - DUE 22 July 2024
Question 1 (26)
1.1. Solve and explain each step to grade 6 mathematics learners the following
multiplication and division calculations involving fractions. 1.1.1. 684÷ 612 (6)
1.1.2. 714× 418 (4)
1.1.3. 316× 624 (6)
1.1.4. 817÷ 124 (4)
1.2. Modelling refers to the idea that learners build in their minds and play
out with objects or in picture form on paper sometimes to solve problems.
Give and explain at least three benefits that you may achieve in your primary
mathematics class by employing modelling. (6)
1.1. Calculations
1.1.1. 684 ÷ 612
To solve this division problem, we can simplify the fraction
684612\frac{684}{612}612684.
1. Find the greatest common divisor (GCD) of 684 and 612:
o The factors of 684 are: 1, 2, 3, 4, 6, 12, 19, 36, 57, 76, 114, 171, 228,
342, 684
o The factors of 612 are: 1, 2, 3, 4, 6, 12, 17, 18, 34, 51, 102, 153, 204,
306, 612
o The common factors are: 1, 2, 3, 4, 6, 12
, o The greatest common divisor is 12.
2. Simplify the fraction:
684÷12612÷12=5751\frac{684 \div 12}{612 \div 12} =
\frac{57}{51}612÷12684÷12=5157
3. Simplify further by dividing by their GCD (3):
57÷351÷3=1917\frac{57 \div 3}{51 \div 3} = \frac{19}{17}51÷357÷3=1719
4. Final Answer:
684612=1917\frac{684}{612} = \frac{19}{17}612684=1719
1.1.2. 714 × 418
To solve this multiplication problem, we multiply the two fractions directly:
1. Multiply the numerators:
714×418=298452714 \times 418 = 298452714×418=298452
2. Since there are no denominators to simplify, the answer remains:
714×418=298452714 \times 418 = 298452714×418=298452
1.1.3. 316 × 624
To solve this multiplication problem, we multiply the two fractions directly:
1. Multiply the numerators:
316×624=197184316 \times 624 = 197184316×624=197184
2. Since there are no denominators to simplify, the answer remains:
316×624=197184316 \times 624 = 197184316×624=197184
