Solve 12div(1-3/7)

$$12 \div ( 1 - \frac { 3 } { 7 } )$$

Evaluate

$$21$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

$$\frac{12}{\frac{7}{7}-\frac{3}{7}}$$

Since \frac{7}{7} and \frac{3}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12}{\frac{7-3}{7}}$$

Subtract 3 from 7 to get 4.

$$\frac{12}{\frac{4}{7}}$$

Divide 12 by \frac{4}{7} by multiplying 12 by the reciprocal of \frac{4}{7}.

$$12\times \frac{7}{4}$$

Express 12\times \frac{7}{4} as a single fraction.

$$\frac{12\times 7}{4}$$

Multiply 12 and 7 to get 84.

$$\frac{84}{4}$$

Divide 84 by 4 to get 21.

$$21$$

Factor

$$3\times 7$$