Solve 82/36-143/108

$$8 \frac { 2 } { 36 } - 1 \frac { 43 } { 108 }$$

Evaluate

$$\frac{719}{108}\approx 6.657407407$$

Solution Steps

Multiply 8 and 36 to get 288.

$$\frac{288+2}{36}-\frac{1\times 108+43}{108}$$

Add 288 and 2 to get 290.

$$\frac{290}{36}-\frac{1\times 108+43}{108}$$

Reduce the fraction \frac{290}{36} to lowest terms by extracting and canceling out 2.

$$\frac{145}{18}-\frac{1\times 108+43}{108}$$

Multiply 1 and 108 to get 108.

$$\frac{145}{18}-\frac{108+43}{108}$$

Add 108 and 43 to get 151.

$$\frac{145}{18}-\frac{151}{108}$$

Least common multiple of 18 and 108 is 108. Convert \frac{145}{18} and \frac{151}{108} to fractions with denominator 108.

$$\frac{870}{108}-\frac{151}{108}$$

Since \frac{870}{108} and \frac{151}{108} have the same denominator, subtract them by subtracting their numerators.

$$\frac{870-151}{108}$$

Subtract 151 from 870 to get 719.

$$\frac{719}{108}$$

Factor

$$\frac{719}{2 ^ {2} \cdot 3 ^ {3}} = 6\frac{71}{108} = 6.657407407407407$$