Fractions

Question 1

Trend rule when numerators match

Answer 1

Smaller denominator ⇒ larger fraction

Question 2

Benchmark strategy

Answer 2

Compare each fraction to a friendly reference (e.g., ½) to judge size

Question 3

Common-denominator steps

Answer 3

Multiply each fraction by a form of 1 to match denominators, then compare numerators

Question 4

Flip-then-multiply rule

Answer 4

To divide fractions, multiply by the reciprocal of the divisor

Question 5

Cross-simplification purpose

Answer 5

Cancel common factors before multiplying to make numbers smaller

Question 6

Why find an LCM before adding fractions?

Answer 6

Makes denominators equal so numerators represent like-sized pieces

Question 7

Convert mixed → improper

Answer 7

Whole × denominator + numerator over original denominator

Question 8

Key idea in composition/decomposition

Answer 8

Only numerators change; denominator stays the same

Question 9

Fraction → decimal

Answer 9

Divide numerator by denominator

Question 10

Decimal → percent

Answer 10

Move decimal two places right (× 100) and add “%”

Question 11

Percent → fraction

Answer 11

Write over 100 and reduce

Question 12

Part/whole setup in word problems

Answer 12

Fraction = desired part ÷ total