AI Tutor
Imagine you eat 1 out of 2 huge slices of a chocolate bar, while your friend eats 3 out of 6 smaller slices of an identical bar.
Even though your counts are completely different, both of you ate the exact same amount of chocolate.
Why does 12\frac{1}{2} equal 36\frac{3}{6}, and how can you turn any fraction into a matching one with math?

The Multiplication Rule

In every fraction, the numerator is the top number showing the parts you have, and the denominator is the bottom number showing the total equal parts.
To make an equivalent fraction, multiply both the numerator and denominator by the exact same whole number.
This rule works because multiplying top and bottom by 3 is really multiplying by 33\frac{3}{3} — which equals 1, and multiplying any number by 1 never changes its size!
How do you use this rule step-by-step when given a fraction like 35\frac{3}{5}?

Worked Example: Generating Fractions

Let's create an equivalent fraction for 35\frac{3}{5} using the multiplier 4.
First, multiply the numerator: 3×4=123 \times 4 = 12. Next, multiply the denominator: 5×4=205 \times 4 = 20.