Solve 93/5-86/7=?

$$9 \frac { 3 } { 5 } - 8 \frac { 6 } { 7 } = ?$$

Evaluate

$$\frac{26}{35}\approx 0.742857143$$

Solution Steps

Multiply 9 and 5 to get 45.

$$\frac{45+3}{5}-\frac{8\times 7+6}{7}$$

Add 45 and 3 to get 48.

$$\frac{48}{5}-\frac{8\times 7+6}{7}$$

Multiply 8 and 7 to get 56.

$$\frac{48}{5}-\frac{56+6}{7}$$

Add 56 and 6 to get 62.

$$\frac{48}{5}-\frac{62}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{48}{5} and \frac{62}{7} to fractions with denominator 35.

$$\frac{336}{35}-\frac{310}{35}$$

Since \frac{336}{35} and \frac{310}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{336-310}{35}$$

Subtract 310 from 336 to get 26.

$$\frac{26}{35}$$

Factor

$$\frac{2 \cdot 13}{5 \cdot 7} = 0.7428571428571429$$