Solve 4/0.3-12/0.42-0.78

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

Evaluate

$$-\frac{100}{27}\approx -3.703703704$$

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.

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

Subtract 0.78 from 0.42 to get -0.36.

$$\frac{\frac{4}{3}}{-0.36}$$

Express \frac{\frac{4}{3}}{-0.36} as a single fraction.

$$\frac{4}{3\left(-0.36\right)}$$

Multiply 3 and -0.36 to get -1.08.

$$\frac{4}{-1.08}$$

Expand \frac{4}{-1.08} by multiplying both numerator and the denominator by 100.

$$\frac{400}{-108}$$

Reduce the fraction \frac{400}{-108} to lowest terms by extracting and canceling out 4.

$$-\frac{100}{27}$$

Factor

$$-\frac{100}{27} = -3\frac{19}{27} = -3.7037037037037037$$