Solve 27/13-1/13+4/7+3/7=frac{72}{82}

$$\frac { 27 } { 13 } - \frac { 1 } { 13 } + \frac { 4 } { 7 } + \frac { 3 } { 7 } = \frac { 72 } { 82 }$$

Verify

Solution Steps

Since \frac{27}{13} and \frac{1}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-1}{13}+\frac{4}{7}+\frac{3}{7}=\frac{72}{82}$$

Subtract 1 from 27 to get 26.

$$\frac{26}{13}+\frac{4}{7}+\frac{3}{7}=\frac{72}{82}$$

Divide 26 by 13 to get 2.

$$2+\frac{4}{7}+\frac{3}{7}=\frac{72}{82}$$

Convert 2 to fraction \frac{14}{7}.

$$\frac{14}{7}+\frac{4}{7}+\frac{3}{7}=\frac{72}{82}$$

Since \frac{14}{7} and \frac{4}{7} have the same denominator, add them by adding their numerators.

$$\frac{14+4}{7}+\frac{3}{7}=\frac{72}{82}$$

Add 14 and 4 to get 18.

$$\frac{18}{7}+\frac{3}{7}=\frac{72}{82}$$

Since \frac{18}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$\frac{18+3}{7}=\frac{72}{82}$$

Add 18 and 3 to get 21.

$$\frac{21}{7}=\frac{72}{82}$$

Divide 21 by 7 to get 3.

$$3=\frac{72}{82}$$

Reduce the fraction \frac{72}{82} to lowest terms by extracting and canceling out 2.

$$3=\frac{36}{41}$$

Convert 3 to fraction \frac{123}{41}.

$$\frac{123}{41}=\frac{36}{41}$$

Compare \frac{123}{41} and \frac{36}{41}.

$$\text{false}$$