Solve 100-4.2*(32.5-17.5/(138.7-137)

$$\frac{ 100-4.2 \times (32.5-17.5 }{ (138.7-137) }$$

Evaluate

$$\frac{1070}{17}\approx 62.941176471$$

Solution Steps

Subtract 17.5 from 32.5 to get 15.

$$100-\frac{4.2\times 15}{138.7-137}$$

Multiply 4.2 and 15 to get 63.

$$100-\frac{63}{138.7-137}$$

Subtract 137 from 138.7 to get 1.7.

$$100-\frac{63}{1.7}$$

Expand \frac{63}{1.7} by multiplying both numerator and the denominator by 10.

$$100-\frac{630}{17}$$

Convert 100 to fraction \frac{1700}{17}.

$$\frac{1700}{17}-\frac{630}{17}$$

Since \frac{1700}{17} and \frac{630}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1700-630}{17}$$

Subtract 630 from 1700 to get 1070.

$$\frac{1070}{17}$$

Factor

$$\frac{2 \cdot 5 \cdot 107}{17} = 62\frac{16}{17} = 62.94117647058823$$