Question

activity multiplying fractions to find area
do this activity with your child to find the area of a rectangle by multiplying fractions.

• look at the rectangle below.
• remind your child that you can find the area of a rectangle by multiplying the length by the width. (area = length × width)
• together with your child, find the area of the rectangle shown above by multiplying the length by the width.
• check your answer by using an area model. the square below has an area of 1 square mile. ask your child to shade parts of the square below to show the same area as the rectangle above.
• together with your child, find the area of the shaded part of the square by finding the fraction of the square that is shaded. ask your child: does this match your answer from above?

Explanation:

Step1: Identify length and width

Length $l=\frac{4}{5}$ mile, width $w = \frac{2}{3}$ mile

Step2: Apply area formula

$A=l\times w=\frac{4}{5}\times\frac{2}{3}$

Step3: Multiply fractions

$\frac{4}{5}\times\frac{2}{3}=\frac{4\times2}{5\times3}=\frac{8}{15}$ square - mile

Answer:

$\frac{8}{15}$ square mile