Solve (4-5/12div1/6)div0.1

$$( 4 - \frac { 5 } { 12 } \div \frac { 1 } { 6 } ) \div 0.1$$

Evaluate

$$15$$

Solution Steps

Divide \frac{5}{12} by \frac{1}{6} by multiplying \frac{5}{12} by the reciprocal of \frac{1}{6}.

$$\frac{4-\frac{5}{12}\times 6}{0.1}$$

Express \frac{5}{12}\times 6 as a single fraction.

$$\frac{4-\frac{5\times 6}{12}}{0.1}$$

Multiply 5 and 6 to get 30.

$$\frac{4-\frac{30}{12}}{0.1}$$

Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.

$$\frac{4-\frac{5}{2}}{0.1}$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{\frac{8}{2}-\frac{5}{2}}{0.1}$$

Since \frac{8}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{8-5}{2}}{0.1}$$

Subtract 5 from 8 to get 3.

$$\frac{\frac{3}{2}}{0.1}$$

Express \frac{\frac{3}{2}}{0.1} as a single fraction.

$$\frac{3}{2\times 0.1}$$

Multiply 2 and 0.1 to get 0.2.

$$\frac{3}{0.2}$$

Expand \frac{3}{0.2} by multiplying both numerator and the denominator by 10.

$$\frac{30}{2}$$

Divide 30 by 2 to get 15.

$$15$$

Factor

$$3\times 5$$