Solve 4/5*2/3+1/4div3/4

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

Evaluate

$$\frac{13}{15}\approx 0.866666667$$

Solution Steps

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

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

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

$$\frac{8}{15}+\frac{\frac{1}{4}}{\frac{3}{4}}$$

Divide \frac{1}{4} by \frac{3}{4} by multiplying \frac{1}{4} by the reciprocal of \frac{3}{4}.

$$\frac{8}{15}+\frac{1}{4}\times \frac{4}{3}$$

Multiply \frac{1}{4} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{15}+\frac{1\times 4}{4\times 3}$$

Cancel out 4 in both numerator and denominator.

$$\frac{8}{15}+\frac{1}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{8}{15} and \frac{1}{3} to fractions with denominator 15.

$$\frac{8}{15}+\frac{5}{15}$$

Since \frac{8}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{8+5}{15}$$

Add 8 and 5 to get 13.

$$\frac{13}{15}$$

Factor

$$\frac{13}{3 \cdot 5} = 0.8666666666666667$$