Solve 5/8*11/10+3/8div10/11

$$\frac { 5 } { 8 } \times \frac { 11 } { 10 } + \frac { 3 } { 8 } \div \frac { 10 } { 11 }$$

Evaluate

$$\frac{11}{10}=1.1$$

Solution Steps

Multiply \frac{5}{8} times \frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 11}{8\times 10}+\frac{\frac{3}{8}}{\frac{10}{11}}$$

Do the multiplications in the fraction \frac{5\times 11}{8\times 10}.

$$\frac{55}{80}+\frac{\frac{3}{8}}{\frac{10}{11}}$$

Reduce the fraction \frac{55}{80} to lowest terms by extracting and canceling out 5.

$$\frac{11}{16}+\frac{\frac{3}{8}}{\frac{10}{11}}$$

Divide \frac{3}{8} by \frac{10}{11} by multiplying \frac{3}{8} by the reciprocal of \frac{10}{11}.

$$\frac{11}{16}+\frac{3}{8}\times \frac{11}{10}$$

Multiply \frac{3}{8} times \frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11}{16}+\frac{3\times 11}{8\times 10}$$

Do the multiplications in the fraction \frac{3\times 11}{8\times 10}.

$$\frac{11}{16}+\frac{33}{80}$$

Least common multiple of 16 and 80 is 80. Convert \frac{11}{16} and \frac{33}{80} to fractions with denominator 80.

$$\frac{55}{80}+\frac{33}{80}$$

Since \frac{55}{80} and \frac{33}{80} have the same denominator, add them by adding their numerators.

$$\frac{55+33}{80}$$

Add 55 and 33 to get 88.

$$\frac{88}{80}$$

Reduce the fraction \frac{88}{80} to lowest terms by extracting and canceling out 8.

$$\frac{11}{10}$$

Factor

$$\frac{11}{2 \cdot 5} = 1\frac{1}{10} = 1.1$$