Solve 75+-37/902

$$75+ \frac{ -37 }{ 90 } 2$$

Evaluate

$$\frac{3338}{45}\approx 74.177777778$$

Solution Steps

Fraction \frac{-37}{90} can be rewritten as -\frac{37}{90} by extracting the negative sign.

$$75-\frac{37}{90}\times 2$$

Express -\frac{37}{90}\times 2 as a single fraction.

$$75+\frac{-37\times 2}{90}$$

Multiply -37 and 2 to get -74.

$$75+\frac{-74}{90}$$

Reduce the fraction \frac{-74}{90} to lowest terms by extracting and canceling out 2.

$$75-\frac{37}{45}$$

Convert 75 to fraction \frac{3375}{45}.

$$\frac{3375}{45}-\frac{37}{45}$$

Since \frac{3375}{45} and \frac{37}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3375-37}{45}$$

Subtract 37 from 3375 to get 3338.

$$\frac{3338}{45}$$

Factor

$$\frac{2 \cdot 1669}{3 ^ {2} \cdot 5} = 74\frac{8}{45} = 74.17777777777778$$