Chapter 1, Problem 33SGR

To determine

To find: the expression $7\frac{2}{5}+5+2\frac{3}{5}$ .

Answer to Problem 33SGR

The value of expression is $15$ .

Explanation of Solution

Given:

The expression is $7\frac{2}{5}+5+2\frac{3}{5}$ .

Calculation:

The expression is evaluated as follows:

Step1:

Use commutative properties as follows:

  $\begin{array}{l}\Rightarrow 7\frac{2}{5}+5+2\frac{3}{5}\\ \Rightarrow 7\frac{2}{5}+2\frac{3}{5}+5\end{array}$

Step1:

Change the mixed fraction into fraction as follows:

  $\begin{array}{l}\Rightarrow 7\frac{2}{5}+2\frac{3}{5}+5\\ \Rightarrow \frac{7\times 5+2}{5}+\frac{2\times 5+3}{5}+5\\ \Rightarrow \frac{37}{5}+\frac{13}{5}+5\end{array}$

Step1:

Use additive property as follows:

  $\begin{array}{l}\Rightarrow \frac{37}{5}+\frac{13}{5}+5\\ \Rightarrow \frac{37+13}{5}+5\\ \Rightarrow \frac{50}{5}+5\\ \Rightarrow 10+5\\ \Rightarrow 15\end{array}$

Thus, the value of expression is $15$ .