Solve (51/4-21/8)div4

$$( 5 \frac { 1 } { 4 } - 2 \frac { 1 } { 8 } ) \div 4$$

Evaluate

$$\frac{25}{32}=0.78125$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{\frac{20+1}{4}-\frac{2\times 8+1}{8}}{4}$$

Add 20 and 1 to get 21.

$$\frac{\frac{21}{4}-\frac{2\times 8+1}{8}}{4}$$

Multiply 2 and 8 to get 16.

$$\frac{\frac{21}{4}-\frac{16+1}{8}}{4}$$

Add 16 and 1 to get 17.

$$\frac{\frac{21}{4}-\frac{17}{8}}{4}$$

Least common multiple of 4 and 8 is 8. Convert \frac{21}{4} and \frac{17}{8} to fractions with denominator 8.

$$\frac{\frac{42}{8}-\frac{17}{8}}{4}$$

Since \frac{42}{8} and \frac{17}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{42-17}{8}}{4}$$

Subtract 17 from 42 to get 25.

$$\frac{\frac{25}{8}}{4}$$

Express \frac{\frac{25}{8}}{4} as a single fraction.

$$\frac{25}{8\times 4}$$

Multiply 8 and 4 to get 32.

$$\frac{25}{32}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {5}} = 0.78125$$