Solve 1/8*21/4+15/4div8+1/8

$$\frac{ 1 }{ 8 } \times \frac{ 21 }{ 4 } + \frac{ 15 }{ 4 } \div 8+ \frac{ 1 }{ 8 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Multiply \frac{1}{8} times \frac{21}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 21}{8\times 4}+\frac{\frac{15}{4}}{8}+\frac{1}{8}$$

Do the multiplications in the fraction \frac{1\times 21}{8\times 4}.

$$\frac{21}{32}+\frac{\frac{15}{4}}{8}+\frac{1}{8}$$

Express \frac{\frac{15}{4}}{8} as a single fraction.

$$\frac{21}{32}+\frac{15}{4\times 8}+\frac{1}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{21}{32}+\frac{15}{32}+\frac{1}{8}$$

Since \frac{21}{32} and \frac{15}{32} have the same denominator, add them by adding their numerators.

$$\frac{21+15}{32}+\frac{1}{8}$$

Add 21 and 15 to get 36.

$$\frac{36}{32}+\frac{1}{8}$$

Reduce the fraction \frac{36}{32} to lowest terms by extracting and canceling out 4.

$$\frac{9}{8}+\frac{1}{8}$$

Since \frac{9}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{9+1}{8}$$

Add 9 and 1 to get 10.

$$\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$