Solve (3/3+7/3)*1/5/frac{14{4}divfrac{6}{5}}

$$\frac { ( \frac { 3 } { 3 } + \frac { 7 } { 3 } ) * \frac { 1 } { 5 } } { \frac { 14 } { 4 } \div \frac { 6 } { 5 } }$$

Evaluate

$$\frac{8}{35}\approx 0.228571429$$

Solution Steps

Since \frac{3}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+7}{3}\times \frac{1}{5}}{\frac{\frac{14}{4}}{\frac{6}{5}}}$$

Add 3 and 7 to get 10.

$$\frac{\frac{10}{3}\times \frac{1}{5}}{\frac{\frac{14}{4}}{\frac{6}{5}}}$$

Multiply \frac{10}{3} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{10\times 1}{3\times 5}}{\frac{\frac{14}{4}}{\frac{6}{5}}}$$

Do the multiplications in the fraction \frac{10\times 1}{3\times 5}.

$$\frac{\frac{10}{15}}{\frac{\frac{14}{4}}{\frac{6}{5}}}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{2}{3}}{\frac{\frac{14}{4}}{\frac{6}{5}}}$$

Divide \frac{14}{4} by \frac{6}{5} by multiplying \frac{14}{4} by the reciprocal of \frac{6}{5}.

$$\frac{\frac{2}{3}}{\frac{14\times 5}{4\times 6}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\frac{2}{3}}{\frac{5\times 7}{2\times 6}}$$

Multiply 5 and 7 to get 35.

$$\frac{\frac{2}{3}}{\frac{35}{2\times 6}}$$

Multiply 2 and 6 to get 12.

$$\frac{\frac{2}{3}}{\frac{35}{12}}$$

Divide \frac{2}{3} by \frac{35}{12} by multiplying \frac{2}{3} by the reciprocal of \frac{35}{12}.

$$\frac{2}{3}\times \frac{12}{35}$$

Multiply \frac{2}{3} times \frac{12}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 12}{3\times 35}$$

Do the multiplications in the fraction \frac{2\times 12}{3\times 35}.

$$\frac{24}{105}$$

Reduce the fraction \frac{24}{105} to lowest terms by extracting and canceling out 3.

$$\frac{8}{35}$$

Factor

$$\frac{2 ^ {3}}{5 \cdot 7} = 0.22857142857142856$$