Solve 71/2+1/4div8

$$7 \frac { 1 } { 2 } + \frac { 1 } { 4 } \div 8$$

Evaluate

$$\frac{241}{32}=7.53125$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{14+1}{2}+\frac{\frac{1}{4}}{8}$$

Add 14 and 1 to get 15.

$$\frac{15}{2}+\frac{\frac{1}{4}}{8}$$

Express \frac{\frac{1}{4}}{8} as a single fraction.

$$\frac{15}{2}+\frac{1}{4\times 8}$$

Multiply 4 and 8 to get 32.

$$\frac{15}{2}+\frac{1}{32}$$

Least common multiple of 2 and 32 is 32. Convert \frac{15}{2} and \frac{1}{32} to fractions with denominator 32.

$$\frac{240}{32}+\frac{1}{32}$$

Since \frac{240}{32} and \frac{1}{32} have the same denominator, add them by adding their numerators.

$$\frac{240+1}{32}$$

Add 240 and 1 to get 241.

$$\frac{241}{32}$$

Factor

$$\frac{241}{2 ^ {5}} = 7\frac{17}{32} = 7.53125$$