Solve (1440-5/8)-3/4

$$(1440- \frac{ 5 }{ 8 } )- \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{11509}{8}=1438.625$$

Solution Steps

Convert 1440 to fraction \frac{11520}{8}.

$$\frac{11520}{8}-\frac{5}{8}-\frac{3}{4}$$

Since \frac{11520}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11520-5}{8}-\frac{3}{4}$$

Subtract 5 from 11520 to get 11515.

$$\frac{11515}{8}-\frac{3}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{11515}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{11515}{8}-\frac{6}{8}$$

Since \frac{11515}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11515-6}{8}$$

Subtract 6 from 11515 to get 11509.

$$\frac{11509}{8}$$

Factor

$$\frac{17 \cdot 677}{2 ^ {3}} = 1438\frac{5}{8} = 1438.625$$