Solve 93/5-75/6-1

$$9 \frac { 3 } { 5 } - 7 \frac { 5 } { 6 } - 1$$

Evaluate

$$\frac{23}{30}\approx 0.766666667$$

Solution Steps

Multiply 9 and 5 to get 45.

$$\frac{45+3}{5}-\frac{7\times 6+5}{6}-1$$

Add 45 and 3 to get 48.

$$\frac{48}{5}-\frac{7\times 6+5}{6}-1$$

Multiply 7 and 6 to get 42.

$$\frac{48}{5}-\frac{42+5}{6}-1$$

Add 42 and 5 to get 47.

$$\frac{48}{5}-\frac{47}{6}-1$$

Least common multiple of 5 and 6 is 30. Convert \frac{48}{5} and \frac{47}{6} to fractions with denominator 30.

$$\frac{288}{30}-\frac{235}{30}-1$$

Since \frac{288}{30} and \frac{235}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{288-235}{30}-1$$

Subtract 235 from 288 to get 53.

$$\frac{53}{30}-1$$

Convert 1 to fraction \frac{30}{30}.

$$\frac{53}{30}-\frac{30}{30}$$

Since \frac{53}{30} and \frac{30}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{53-30}{30}$$

Subtract 30 from 53 to get 23.

$$\frac{23}{30}$$

Factor

$$\frac{23}{2 \cdot 3 \cdot 5} = 0.7666666666666667$$