Solve 77/8-41/2

$$7 \frac{ 7 }{ 8 } -4 \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{27}{8}=3.375$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+7}{8}-\frac{4\times 2+1}{2}$$

Add 56 and 7 to get 63.

$$\frac{63}{8}-\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{63}{8}-\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{63}{8}-\frac{9}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{63}{8} and \frac{9}{2} to fractions with denominator 8.

$$\frac{63}{8}-\frac{36}{8}$$

Since \frac{63}{8} and \frac{36}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-36}{8}$$

Subtract 36 from 63 to get 27.

$$\frac{27}{8}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3.375$$