Solve 0.24div3/5+13/5

$$0.24 \div \frac { 3 } { 5 } + 1 \frac { 3 } { 5 }$$

Evaluate

$$2$$

Solution Steps

Divide 0.24 by \frac{3}{5} by multiplying 0.24 by the reciprocal of \frac{3}{5}.

$$0.24\times \frac{5}{3}+\frac{1\times 5+3}{5}$$

Convert decimal number 0.24 to fraction \frac{24}{100}. Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{6}{25}\times \frac{5}{3}+\frac{1\times 5+3}{5}$$

Multiply \frac{6}{25} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 5}{25\times 3}+\frac{1\times 5+3}{5}$$

Do the multiplications in the fraction \frac{6\times 5}{25\times 3}.

$$\frac{30}{75}+\frac{1\times 5+3}{5}$$

Reduce the fraction \frac{30}{75} to lowest terms by extracting and canceling out 15.

$$\frac{2}{5}+\frac{1\times 5+3}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{2}{5}+\frac{5+3}{5}$$

Add 5 and 3 to get 8.

$$\frac{2}{5}+\frac{8}{5}$$

Since \frac{2}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.

$$\frac{2+8}{5}$$

Add 2 and 8 to get 10.

$$\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$2$$

Factor

$$2$$