Solve 60div(1-1/10)*1/10=

$$60 \div ( 1 - \frac { 1 } { 10 } ) \times \frac { 1 } { 10 } =$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Convert 1 to fraction \frac{10}{10}.

$$\frac{60}{\frac{10}{10}-\frac{1}{10}}\times \frac{1}{10}$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60}{\frac{10-1}{10}}\times \frac{1}{10}$$

Subtract 1 from 10 to get 9.

$$\frac{60}{\frac{9}{10}}\times \frac{1}{10}$$

Divide 60 by \frac{9}{10} by multiplying 60 by the reciprocal of \frac{9}{10}.

$$60\times \frac{10}{9}\times \frac{1}{10}$$

Express 60\times \frac{10}{9} as a single fraction.

$$\frac{60\times 10}{9}\times \frac{1}{10}$$

Multiply 60 and 10 to get 600.

$$\frac{600}{9}\times \frac{1}{10}$$

Reduce the fraction \frac{600}{9} to lowest terms by extracting and canceling out 3.

$$\frac{200}{3}\times \frac{1}{10}$$

Multiply \frac{200}{3} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{200\times 1}{3\times 10}$$

Do the multiplications in the fraction \frac{200\times 1}{3\times 10}.

$$\frac{200}{30}$$

Reduce the fraction \frac{200}{30} to lowest terms by extracting and canceling out 10.

$$\frac{20}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$