Solve 105/8-53/4

$$10 \frac { 5 } { 8 } - 5 \frac { 3 } { 4 }$$

Evaluate

$$\frac{39}{8}=4.875$$

Solution Steps

Multiply 10 and 8 to get 80.

$$\frac{80+5}{8}-\frac{5\times 4+3}{4}$$

Add 80 and 5 to get 85.

$$\frac{85}{8}-\frac{5\times 4+3}{4}$$

Multiply 5 and 4 to get 20.

$$\frac{85}{8}-\frac{20+3}{4}$$

Add 20 and 3 to get 23.

$$\frac{85}{8}-\frac{23}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{85}{8} and \frac{23}{4} to fractions with denominator 8.

$$\frac{85}{8}-\frac{46}{8}$$

Since \frac{85}{8} and \frac{46}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-46}{8}$$

Subtract 46 from 85 to get 39.

$$\frac{39}{8}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {3}} = 4\frac{7}{8} = 4.875$$