Solve 8,4/frac{2{5}}

$$\frac { 8,4 } { \frac { 2 } { 5 } }$$

Evaluate

$$21$$

Solution Steps

Divide 8,4 by \frac{2}{5} by multiplying 8,4 by the reciprocal of \frac{2}{5}.

$$8,4\times \frac{5}{2}$$

Convert decimal number 8,4 to fraction \frac{84}{10}. Reduce the fraction \frac{84}{10} to lowest terms by extracting and canceling out 2.

$$\frac{42}{5}\times \frac{5}{2}$$

Multiply \frac{42}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{42\times 5}{5\times 2}$$

Cancel out 5 in both numerator and denominator.

$$\frac{42}{2}$$

Divide 42 by 2 to get 21.

$$21$$

Factor

$$3\times 7$$