Solve 0.6+0.15/0.12(10-0.6)/0.12

$$\frac{ 0.6+ \frac{ 0.15 }{ 0.12 } (10-0.6) }{ 0.12 }$$

Evaluate

$$\frac{1235}{12}\approx 102.916666667$$

Solution Steps

Expand \frac{0.15}{0.12} by multiplying both numerator and the denominator by 100.

$$\frac{0.6+\frac{15}{12}\left(10-0.6\right)}{0.12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{0.6+\frac{5}{4}\left(10-0.6\right)}{0.12}$$

Subtract 0.6 from 10 to get 9.4.

$$\frac{0.6+\frac{5}{4}\times 9.4}{0.12}$$

Convert decimal number 9.4 to fraction \frac{94}{10}. Reduce the fraction \frac{94}{10} to lowest terms by extracting and canceling out 2.

$$\frac{0.6+\frac{5}{4}\times \frac{47}{5}}{0.12}$$

Multiply \frac{5}{4} times \frac{47}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{0.6+\frac{5\times 47}{4\times 5}}{0.12}$$

Cancel out 5 in both numerator and denominator.

$$\frac{0.6+\frac{47}{4}}{0.12}$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{5}+\frac{47}{4}}{0.12}$$

Least common multiple of 5 and 4 is 20. Convert \frac{3}{5} and \frac{47}{4} to fractions with denominator 20.

$$\frac{\frac{12}{20}+\frac{235}{20}}{0.12}$$

Since \frac{12}{20} and \frac{235}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{12+235}{20}}{0.12}$$

Add 12 and 235 to get 247.

$$\frac{\frac{247}{20}}{0.12}$$

Express \frac{\frac{247}{20}}{0.12} as a single fraction.

$$\frac{247}{20\times 0.12}$$

Multiply 20 and 0.12 to get 2.4.

$$\frac{247}{2.4}$$

Expand \frac{247}{2.4} by multiplying both numerator and the denominator by 10.

$$\frac{2470}{24}$$

Reduce the fraction \frac{2470}{24} to lowest terms by extracting and canceling out 2.

$$\frac{1235}{12}$$

Factor

$$\frac{5 \cdot 13 \cdot 19}{3 \cdot 2 ^ {2}} = 102\frac{11}{12} = 102.91666666666667$$