Solve 324/24+57/14-6/7

$$\frac { 324 } { 24 } + \frac { 57 } { 14 } - \frac { 6 } { 7 }$$

Evaluate

$$\frac{117}{7}\approx 16.714285714$$

Solution Steps

Reduce the fraction \frac{324}{24} to lowest terms by extracting and canceling out 12.

$$\frac{27}{2}+\frac{57}{14}-\frac{6}{7}$$

Least common multiple of 2 and 14 is 14. Convert \frac{27}{2} and \frac{57}{14} to fractions with denominator 14.

$$\frac{189}{14}+\frac{57}{14}-\frac{6}{7}$$

Since \frac{189}{14} and \frac{57}{14} have the same denominator, add them by adding their numerators.

$$\frac{189+57}{14}-\frac{6}{7}$$

Add 189 and 57 to get 246.

$$\frac{246}{14}-\frac{6}{7}$$

Reduce the fraction \frac{246}{14} to lowest terms by extracting and canceling out 2.

$$\frac{123}{7}-\frac{6}{7}$$

Since \frac{123}{7} and \frac{6}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{123-6}{7}$$

Subtract 6 from 123 to get 117.

$$\frac{117}{7}$$

Factor

$$\frac{3 ^ {2} \cdot 13}{7} = 16\frac{5}{7} = 16.714285714285715$$