Solve 25div(7/8-5/6)

$$25 \div ( \frac { 7 } { 8 } - \frac { 5 } { 6 } )$$

Evaluate

$$600$$

Solution Steps

Least common multiple of 8 and 6 is 24. Convert \frac{7}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{25}{\frac{21}{24}-\frac{20}{24}}$$

Since \frac{21}{24} and \frac{20}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25}{\frac{21-20}{24}}$$

Subtract 20 from 21 to get 1.

$$\frac{25}{\frac{1}{24}}$$

Divide 25 by \frac{1}{24} by multiplying 25 by the reciprocal of \frac{1}{24}.

$$25\times 24$$

Multiply 25 and 24 to get 600.

$$600$$

Factor

$$2^{3}\times 3\times 5^{2}$$