Solve 10+0.12/0.1left(50-10right)/0.1

$$\frac{ 10+ \frac{ 0.12 }{ 0.1 } \left( 50-10 \right) }{ 0.1 }$$

Evaluate

$$580$$

Solution Steps

Expand \frac{0.12}{0.1} by multiplying both numerator and the denominator by 100.

$$\frac{10+\frac{12}{10}\left(50-10\right)}{0.1}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{10+\frac{6}{5}\left(50-10\right)}{0.1}$$

Subtract 10 from 50 to get 40.

$$\frac{10+\frac{6}{5}\times 40}{0.1}$$

Express \frac{6}{5}\times 40 as a single fraction.

$$\frac{10+\frac{6\times 40}{5}}{0.1}$$

Multiply 6 and 40 to get 240.

$$\frac{10+\frac{240}{5}}{0.1}$$

Divide 240 by 5 to get 48.

$$\frac{10+48}{0.1}$$

Add 10 and 48 to get 58.

$$\frac{58}{0.1}$$

Expand \frac{58}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$580$$

Factor

$$5\times 29\times 2^{2}$$