Solve 3/5+4/7/frac{5{21}}

$$\frac{ 3 }{ 5 } + \frac{ \frac{ 4 }{ 7 } }{ \frac{ 5 }{ 21 } }$$

Evaluate

$$3$$

Solution Steps

Divide \frac{4}{7} by \frac{5}{21} by multiplying \frac{4}{7} by the reciprocal of \frac{5}{21}.

$$\frac{3}{5}+\frac{4}{7}\times \frac{21}{5}$$

Multiply \frac{4}{7} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{5}+\frac{4\times 21}{7\times 5}$$

Do the multiplications in the fraction \frac{4\times 21}{7\times 5}.

$$\frac{3}{5}+\frac{84}{35}$$

Reduce the fraction \frac{84}{35} to lowest terms by extracting and canceling out 7.

$$\frac{3}{5}+\frac{12}{5}$$

Since \frac{3}{5} and \frac{12}{5} have the same denominator, add them by adding their numerators.

$$\frac{3+12}{5}$$

Add 3 and 12 to get 15.

$$\frac{15}{5}$$

Divide 15 by 5 to get 3.

$$3$$

Factor

$$3$$