Solve 4/0.3-12/0.42+0.78

$$\frac { \frac { 4 } { 0.3 } - 12 } { 0.42 + 0.78 }$$

Evaluate

$$\frac{10}{9}\approx 1.111111111$$

Solution Steps

Expand \frac{4}{0.3} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{40}{3}-12}{0.42+0.78}$$

Convert 12 to fraction \frac{36}{3}.

$$\frac{\frac{40}{3}-\frac{36}{3}}{0.42+0.78}$$

Since \frac{40}{3} and \frac{36}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{40-36}{3}}{0.42+0.78}$$

Subtract 36 from 40 to get 4.

$$\frac{\frac{4}{3}}{0.42+0.78}$$

Add 0.42 and 0.78 to get 1.2.

$$\frac{\frac{4}{3}}{1.2}$$

Express \frac{\frac{4}{3}}{1.2} as a single fraction.

$$\frac{4}{3\times 1.2}$$

Multiply 3 and 1.2 to get 3.6.

$$\frac{4}{3.6}$$

Expand \frac{4}{3.6} by multiplying both numerator and the denominator by 10.

$$\frac{40}{36}$$

Reduce the fraction \frac{40}{36} to lowest terms by extracting and canceling out 4.

$$\frac{10}{9}$$

Factor

$$\frac{2 \cdot 5}{3 ^ {2}} = 1\frac{1}{9} = 1.1111111111111112$$