BSEP ARITHMETIC REASONING STUDY QUESTIONS WITH
SOLUTIONS 2025 GRADED A+
✔✔To convert/rename an Improper Fraction into a Mix Number - ✔✔Divide the
numerator by the denominator
✔✔To Add or Subtract Fractions - ✔✔1. Find a common denominator
2. Add or subtract numerators
3. Keep the denominator the same
✔✔To Multiply Fractions - ✔✔Multiply (left to right) the numerators and the
denominators
*Always reduce your answer*
✔✔To Divide Fractions - ✔✔Keep, Change, Flip (Reciprocal)
✔✔To Add or Subtract Decimals - ✔✔Line the decimals up
✔✔To Multiply Decimals - ✔✔Multiply like normal, move the decimal starting from the
right to the left, count decimals places, the add the same amount of spaces to the
answer.
✔✔To Divide Decimals - ✔✔Move the divisor (outside) decimal to the right (wall), then
move the dividend (inside) decimal same amount of spaces. Put inside decimal above ÷
line, Divide like normal.
✔✔To change a Decimal to a Fraction - ✔✔Put the number above its last place value,
then simplify.
Example: 0.205 the 5 is in the 1,000ths place value, so you would put 205/1000, then
simplify
✔✔To change a Fraction to a Decimal - ✔✔Divide numerator by denominator
*Adding zeros may be required*
Ex. 1/2 -> 0.5, 6/1,000 -> 0.006
✔✔To change a Percent to Decimal - ✔✔Multiply the number by 100, or
Move the decimal two places to the left
*Adding zeros may be required*
Ex: 67%= 0.67, 6%= 0.06, 187%= 1.87, 0.14%=0.0014
✔✔To change a Decimal to a Percent - ✔✔Move the decimal two places to the right
*May have to add a zero to the right*
SOLUTIONS 2025 GRADED A+
✔✔To convert/rename an Improper Fraction into a Mix Number - ✔✔Divide the
numerator by the denominator
✔✔To Add or Subtract Fractions - ✔✔1. Find a common denominator
2. Add or subtract numerators
3. Keep the denominator the same
✔✔To Multiply Fractions - ✔✔Multiply (left to right) the numerators and the
denominators
*Always reduce your answer*
✔✔To Divide Fractions - ✔✔Keep, Change, Flip (Reciprocal)
✔✔To Add or Subtract Decimals - ✔✔Line the decimals up
✔✔To Multiply Decimals - ✔✔Multiply like normal, move the decimal starting from the
right to the left, count decimals places, the add the same amount of spaces to the
answer.
✔✔To Divide Decimals - ✔✔Move the divisor (outside) decimal to the right (wall), then
move the dividend (inside) decimal same amount of spaces. Put inside decimal above ÷
line, Divide like normal.
✔✔To change a Decimal to a Fraction - ✔✔Put the number above its last place value,
then simplify.
Example: 0.205 the 5 is in the 1,000ths place value, so you would put 205/1000, then
simplify
✔✔To change a Fraction to a Decimal - ✔✔Divide numerator by denominator
*Adding zeros may be required*
Ex. 1/2 -> 0.5, 6/1,000 -> 0.006
✔✔To change a Percent to Decimal - ✔✔Multiply the number by 100, or
Move the decimal two places to the left
*Adding zeros may be required*
Ex: 67%= 0.67, 6%= 0.06, 187%= 1.87, 0.14%=0.0014
✔✔To change a Decimal to a Percent - ✔✔Move the decimal two places to the right
*May have to add a zero to the right*
