Question

Keri pours 6 glasses of juice. Each glass holds 3/4 cup. How many cups of juice Keri pour? Drag numbers to show your answer. Numbers may be used once, more than once, or not at all.

Answer 1

Fractions

Keri pours 6 glasses of juice. Each glass holds 3/4 cup.

This means that there are 6 times 3/4 cups:

$6\times\frac{3}{4}$

When we multiply an integer with a fraction, we just have to multiply it by the numerator:

$6\times\frac{3}{4}=\frac{6\times3}{4}$

Since 6 x 3 = 18:

$6\times\frac{3}{4}=\frac{6\times3}{4}=\frac{18}{4}$

Simplification

We can simplify 18/4 since both 18 and 4 can be divided by 2:

18 ÷ 2 = 9

4 ÷ 2 = 2

Then,

$\frac{18}{4}=\frac{18\div2}{4\div2}=\frac{9}{2}$

Since 2 fits 4 times on 9 (4 times 2 is 8) and there is one left over, we can write the fractions 9/2 as:

$\frac{9}{2}=4\frac{1}{2}$

Answer: 4 1/2 cups.