Solve 2-1/10*1/3div4/25div1/8

$$2 - \frac { 1 } { 10 } \times \frac { 1 } { 3 } \div \frac { 4 } { 25 } \div \frac { 1 } { 8 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Divide \frac{\frac{1}{10}\times \frac{1}{3}}{\frac{4}{25}} by \frac{1}{8} by multiplying \frac{\frac{1}{10}\times \frac{1}{3}}{\frac{4}{25}} by the reciprocal of \frac{1}{8}.

$$2-\frac{\frac{1}{10}\times \frac{1}{3}\times 8}{\frac{4}{25}}$$

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

$$2-\frac{\frac{1\times 1}{10\times 3}\times 8}{\frac{4}{25}}$$

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

$$2-\frac{\frac{1}{30}\times 8}{\frac{4}{25}}$$

Multiply \frac{1}{30} and 8 to get \frac{8}{30}.

$$2-\frac{\frac{8}{30}}{\frac{4}{25}}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$2-\frac{\frac{4}{15}}{\frac{4}{25}}$$

Divide \frac{4}{15} by \frac{4}{25} by multiplying \frac{4}{15} by the reciprocal of \frac{4}{25}.

$$2-\frac{4}{15}\times \frac{25}{4}$$

Multiply \frac{4}{15} times \frac{25}{4} by multiplying numerator times numerator and denominator times denominator.

$$2-\frac{4\times 25}{15\times 4}$$

Cancel out 4 in both numerator and denominator.

$$2-\frac{25}{15}$$

Reduce the fraction \frac{25}{15} to lowest terms by extracting and canceling out 5.

$$2-\frac{5}{3}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{6}{3}-\frac{5}{3}$$

Since \frac{6}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-5}{3}$$

Subtract 5 from 6 to get 1.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$