Solve 41/4-35/8=

$$4 \frac { 1 } { 4 } - 3 \frac { 5 } { 8 } =$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+1}{4}-\frac{3\times 8+5}{8}$$

Add 16 and 1 to get 17.

$$\frac{17}{4}-\frac{3\times 8+5}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{17}{4}-\frac{24+5}{8}$$

Add 24 and 5 to get 29.

$$\frac{17}{4}-\frac{29}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{17}{4} and \frac{29}{8} to fractions with denominator 8.

$$\frac{34}{8}-\frac{29}{8}$$

Since \frac{34}{8} and \frac{29}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-29}{8}$$

Subtract 29 from 34 to get 5.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$