Solve 8div(1/2*1/4+3/4*5/2)

$$8 \div ( \frac { 1 } { 2 } \times \frac { 1 } { 4 } + \frac { 3 } { 4 } \times \frac { 5 } { 2 } )$$

Evaluate

$$4$$

Solution Steps

Multiply \frac{1}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{\frac{1\times 1}{2\times 4}+\frac{3}{4}\times \frac{5}{2}}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 4}.

$$\frac{8}{\frac{1}{8}+\frac{3}{4}\times \frac{5}{2}}$$

Multiply \frac{3}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{\frac{1}{8}+\frac{3\times 5}{4\times 2}}$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 2}.

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

Since \frac{1}{8} and \frac{15}{8} have the same denominator, add them by adding their numerators.

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

Add 1 and 15 to get 16.

$$\frac{8}{\frac{16}{8}}$$

Divide 16 by 8 to get 2.

$$\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$4$$

Factor

$$2^{2}$$