Chapter 4.1, Problem 77CCR

To determine

Determine how many total inches did grow in the past two years.

Answer to Problem 77CCR

The required answer is $4\frac{3}{8}$ inches.

Explanation of Solution

Given information: Given statement is $1\frac{5}{8},2\frac{3}{4}$

Calculation:

Add $1\frac{5}{8}+2\frac{3}{4}$ to obtain her total growth;

Convert to the improper fractions:

  $\frac{13}{8}+\frac{11}{4}$

As the denominators are different, set both equations to the LCM between them.

The LCM of $8$ and $4$ is $8$ both fractions so that their denominator is $8$ .

  $\frac{11}{4}\cdot \frac{2}{2}=\frac{22}{8}$

Now, add the numerators and maintain the denominator.

  $\begin{array}{l}\frac{13}{8}+\frac{22}{8}\\ =\frac{35}{8}\end{array}$

Convert the improper fraction to a mixed fraction:

  $\frac{35}{8}=4\frac{3}{8}$

She has grown $4\frac{3}{8}$ inches in the past two years.

Thus, the required answer is $4\frac{3}{8}$ inches.