Chapter 3, Problem 22PT

To determine

To calculate:To write the sum or difference in simplest form

Answer to Problem 22PT

  $6\frac{3}{4}-2\frac{1}{6}=4\frac{7}{12}$

Explanation of Solution

Given information:Expression is $6\frac{3}{4}-2\frac{1}{6}$

Calculation:

Expression is given as

  $6\frac{3}{4}-2\frac{1}{6}$

  $\Rightarrow \frac{27}{4}-\frac{13}{6}$

Now, in order to subtract two fractions, the denominator must be same.

  $\begin{array}{l}\Rightarrow \frac{27\times 3}{4\times 3}-\frac{13\times 2}{6\times 2}\\ \Rightarrow \frac{81}{12}-\frac{26}{12}\\ \Rightarrow \frac{81-26}{12}\\ \Rightarrow \frac{55}{12}\\ \Rightarrow 4\frac{7}{12}\end{array}$

Hence, $6\frac{3}{4}-2\frac{1}{6}=4\frac{7}{12}$