Solve 10+0.08/0.1left(50-10right)/0.1

$$\frac{ 10+ \frac{ 0.08 }{ 0.1 } \left( 50-10 \right) }{ 0.1 }$$

Evaluate

$$420$$

Solution Steps

Expand \frac{0.08}{0.1} by multiplying both numerator and the denominator by 100.

$$\frac{10+\frac{8}{10}\left(50-10\right)}{0.1}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{10+\frac{4}{5}\left(50-10\right)}{0.1}$$

Subtract 10 from 50 to get 40.

$$\frac{10+\frac{4}{5}\times 40}{0.1}$$

Express \frac{4}{5}\times 40 as a single fraction.

$$\frac{10+\frac{4\times 40}{5}}{0.1}$$

Multiply 4 and 40 to get 160.

$$\frac{10+\frac{160}{5}}{0.1}$$

Divide 160 by 5 to get 32.

$$\frac{10+32}{0.1}$$

Add 10 and 32 to get 42.

$$\frac{42}{0.1}$$

Expand \frac{42}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$420$$

Factor

$$3\times 5\times 7\times 2^{2}$$