Solve 70+100-96/150-96*50=

$$70+ \frac{ 100-96 }{ 150-96 } \times 50=$$

Evaluate

$$\frac{1990}{27}\approx 73.703703704$$

Solution Steps

Subtract 96 from 100 to get 4.

$$70+\frac{4}{150-96}\times 50$$

Subtract 96 from 150 to get 54.

$$70+\frac{4}{54}\times 50$$

Reduce the fraction \frac{4}{54} to lowest terms by extracting and canceling out 2.

$$70+\frac{2}{27}\times 50$$

Express \frac{2}{27}\times 50 as a single fraction.

$$70+\frac{2\times 50}{27}$$

Multiply 2 and 50 to get 100.

$$70+\frac{100}{27}$$

Convert 70 to fraction \frac{1890}{27}.

$$\frac{1890}{27}+\frac{100}{27}$$

Since \frac{1890}{27} and \frac{100}{27} have the same denominator, add them by adding their numerators.

$$\frac{1890+100}{27}$$

Add 1890 and 100 to get 1990.

$$\frac{1990}{27}$$

Factor

$$\frac{2 \cdot 5 \cdot 199}{3 ^ {3}} = 73\frac{19}{27} = 73.70370370370371$$