Solve 83/4-55/6=

$$8 \frac { 3 } { 4 } - 5 \frac { 5 } { 6 } =$$

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{32+3}{4}-\frac{5\times 6+5}{6}$$

Add 32 and 3 to get 35.

$$\frac{35}{4}-\frac{5\times 6+5}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{35}{4}-\frac{30+5}{6}$$

Add 30 and 5 to get 35.

$$\frac{35}{4}-\frac{35}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{35}{4} and \frac{35}{6} to fractions with denominator 12.

$$\frac{105}{12}-\frac{70}{12}$$

Since \frac{105}{12} and \frac{70}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-70}{12}$$

Subtract 70 from 105 to get 35.

$$\frac{35}{12}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2.9166666666666665$$