Solve 5/8div1/10+1/3

$$\frac { 5 } { 8 } \div \frac { 1 } { 10 } + \frac { 1 } { 3 }$$

Evaluate

$$\frac{79}{12}\approx 6.583333333$$

Solution Steps

Divide \frac{5}{8} by \frac{1}{10} by multiplying \frac{5}{8} by the reciprocal of \frac{1}{10}.

$$\frac{5}{8}\times 10+\frac{1}{3}$$

Express \frac{5}{8}\times 10 as a single fraction.

$$\frac{5\times 10}{8}+\frac{1}{3}$$

Multiply 5 and 10 to get 50.

$$\frac{50}{8}+\frac{1}{3}$$

Reduce the fraction \frac{50}{8} to lowest terms by extracting and canceling out 2.

$$\frac{25}{4}+\frac{1}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{25}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{75}{12}+\frac{4}{12}$$

Since \frac{75}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{75+4}{12}$$

Add 75 and 4 to get 79.

$$\frac{79}{12}$$

Factor

$$\frac{79}{2 ^ {2} \cdot 3} = 6\frac{7}{12} = 6.583333333333333$$