Same Amount, Different Look: Equivalent Fractions

Imagine a pizza cut into 2 equal slices. You eat 1 slice — that is one half, written as 1/2. Now imagine the same pizza cut into 4 equal slices instead. You eat 2 slices. Have you eaten more pizza, less pizza, or exactly the same amount? Think about it before you read on!

A fraction has two parts. The numerator (the top number) tells you how many parts you have. The denominator (the bottom number) tells you how many equal parts the whole is split into. So in 3/4, the numerator is 3 and the denominator is 4. Equivalent fractions look different but are worth exactly the same amount. The word 'equivalent' means 'equal in value'. Here is the key rule: if you multiply the numerator AND the denominator by the same number, you get an equivalent fraction. You are not changing the size of the piece — you are just cutting things into more slices. Example: Start with 1/2. Multiply both numbers by 2: Top: 1 × 2 = 2 Bottom: 2 × 2 = 4 Result: 2/4 So 1/2 = 2/4. They are equivalent! The rule also works the other way. If you divide the numerator and denominator by the same number, you get an equivalent fraction too. This is called simplifying. For example, 4/8 — divide both by 4: Top: 4 ÷ 4 = 1 Bottom: 8 ÷ 4 = 2 Result: 1/2 So 4/8 = 1/2.