Solve 612-16(37/8)^2

$$612 - 16 ( \frac { 37 } { 8 } ) ^ { 2 }$$

Evaluate

$$\frac{1079}{4}=269.75$$

Solution Steps

Calculate \frac{37}{8} to the power of 2 and get \frac{1369}{64}.

$$612-16\times \frac{1369}{64}$$

Express 16\times \frac{1369}{64} as a single fraction.

$$612-\frac{16\times 1369}{64}$$

Multiply 16 and 1369 to get 21904.

$$612-\frac{21904}{64}$$

Reduce the fraction \frac{21904}{64} to lowest terms by extracting and canceling out 16.

$$612-\frac{1369}{4}$$

Convert 612 to fraction \frac{2448}{4}.

$$\frac{2448}{4}-\frac{1369}{4}$$

Since \frac{2448}{4} and \frac{1369}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2448-1369}{4}$$

Subtract 1369 from 2448 to get 1079.

$$\frac{1079}{4}$$

Factor

$$\frac{13 \cdot 83}{2 ^ {2}} = 269\frac{3}{4} = 269.75$$