Let’s Learn!

$fraction fox$

Think About It!

Goal: Calculate equivalent fractions.

Logan wants to make sure his friends all get the same amount of lemonade in their glasses. Let's use equivalent fractions to fill the glasses with the same amount.

Logan wants the lemonade in these two glasses to be equal. Let’s help him!

A glass of lemonade three fourths of the way full and an empty glass.

We can make sure both glasses have the same amount of lemonade by creating equivalent fractions. If we partition the first glass into 4 equal parts, the glass is $\Large\frac{3}{4}$ full.

What if we partitioned the second glass into 8 equal parts? Click the 2nd glass to fill it with lemonade!

A glass of lemonade divided into 4 equal parts with 3 parts filled in and a glass of lemonade divided into 8 equal parts with no parts filled in.

A glass of lemonade divided into 4 equal parts with 3 parts filled in and a glass of lemonade divided into 8 equal parts with 6 parts filled in.

We can make sure both glasses have the same amount of lemonade by creating equivalent fractions. If we partition the first glass into 4 equal parts, the glass is $\Large\frac{3}{4}$ full.

$A glass of lemonade divided into 4 equal parts with 3 parts filled in with the fraction three quarters and a glass of lemonade divided into 8 equal parts with 6 parts filled in with a blank fraction.$

Now both glasses have the same amount of lemonade! What is the fraction of the second glass?

$\huge\frac{6}{8}$

Great job! Equivalent fractions are two or more fractions that name the same amount.

We can check our answer using multiplication! Look at the numerators, and ask yourself, “What number times 3 equals 6?

three quarters times missing number equals six eighths.

If you said 2, you are correct! ${3 \times 2 = 6}$.

Let's make a whole fraction using the number 2. A whole fraction is when the numerator and the denominator are the same number. Our whole fraction is $\Large\frac{2}{2}$ .