Solve 83-526/812*76

$$83 - \frac { 526 } { 812 } \times 76$$

Evaluate

$$\frac{6855}{203}\approx 33.768472906$$

Solution Steps

Reduce the fraction \frac{526}{812} to lowest terms by extracting and canceling out 2.

$$83-\frac{263}{406}\times 76$$

Express \frac{263}{406}\times 76 as a single fraction.

$$83-\frac{263\times 76}{406}$$

Multiply 263 and 76 to get 19988.

$$83-\frac{19988}{406}$$

Reduce the fraction \frac{19988}{406} to lowest terms by extracting and canceling out 2.

$$83-\frac{9994}{203}$$

Convert 83 to fraction \frac{16849}{203}.

$$\frac{16849}{203}-\frac{9994}{203}$$

Since \frac{16849}{203} and \frac{9994}{203} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16849-9994}{203}$$

Subtract 9994 from 16849 to get 6855.

$$\frac{6855}{203}$$

Factor

$$\frac{3 \cdot 5 \cdot 457}{7 \cdot 29} = 33\frac{156}{203} = 33.76847290640394$$