Solve 1/8div4+7/8*1/4

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

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

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

$$\frac{1}{8\times 4}+\frac{7}{8}\times \frac{1}{4}$$

Multiply 8 and 4 to get 32.

$$\frac{1}{32}+\frac{7}{8}\times \frac{1}{4}$$

Multiply \frac{7}{8} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{32}+\frac{7\times 1}{8\times 4}$$

Do the multiplications in the fraction \frac{7\times 1}{8\times 4}.

$$\frac{1}{32}+\frac{7}{32}$$

Since \frac{1}{32} and \frac{7}{32} have the same denominator, add them by adding their numerators.

$$\frac{1+7}{32}$$

Add 1 and 7 to get 8.

$$\frac{8}{32}$$

Reduce the fraction \frac{8}{32} to lowest terms by extracting and canceling out 8.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$