Solve 25div(1-1/3-1/4)

$$25 \div (1- \frac{ 1 }{ 3 } - \frac{ 1 }{ 4 } )$$

Evaluate

$$60$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$\frac{25}{\frac{3}{3}-\frac{1}{3}-\frac{1}{4}}$$

Since \frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25}{\frac{3-1}{3}-\frac{1}{4}}$$

Subtract 1 from 3 to get 2.

$$\frac{25}{\frac{2}{3}-\frac{1}{4}}$$

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{25}{\frac{8}{12}-\frac{3}{12}}$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25}{\frac{8-3}{12}}$$

Subtract 3 from 8 to get 5.

$$\frac{25}{\frac{5}{12}}$$

Divide 25 by \frac{5}{12} by multiplying 25 by the reciprocal of \frac{5}{12}.

$$25\times \frac{12}{5}$$

Express 25\times \frac{12}{5} as a single fraction.

$$\frac{25\times 12}{5}$$

Multiply 25 and 12 to get 300.

$$\frac{300}{5}$$

Divide 300 by 5 to get 60.

$$60$$

Factor

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