Solve (4/3+5/3)div4/7

$$( \frac { 4 } { 3 } + \frac { 5 } { 3 } ) \div \frac { 4 } { 7 }$$

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Since \frac{4}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4+5}{3}}{\frac{4}{7}}$$

Add 4 and 5 to get 9.

$$\frac{\frac{9}{3}}{\frac{4}{7}}$$

Divide 9 by 3 to get 3.

$$\frac{3}{\frac{4}{7}}$$

Divide 3 by \frac{4}{7} by multiplying 3 by the reciprocal of \frac{4}{7}.

$$3\times \frac{7}{4}$$

Express 3\times \frac{7}{4} as a single fraction.

$$\frac{3\times 7}{4}$$

Multiply 3 and 7 to get 21.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$