Solve 1/3*2,4+4,8:22/5=

$$\frac { 1 } { 3 } \cdot 2,4 + 4,8 : 2 \frac { 2 } { 5 } =$$

Evaluate

$$2,8$$

Solution Steps

Convert decimal number 2,4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\times \frac{12}{5}+\frac{4,8}{\frac{2\times 5+2}{5}}$$

Multiply \frac{1}{3} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 12}{3\times 5}+\frac{4,8}{\frac{2\times 5+2}{5}}$$

Do the multiplications in the fraction \frac{1\times 12}{3\times 5}.

$$\frac{12}{15}+\frac{4,8}{\frac{2\times 5+2}{5}}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

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

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

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

Multiply 4,8 and 5 to get 24.

$$\frac{4}{5}+\frac{24}{2\times 5+2}$$

Multiply 2 and 5 to get 10.

$$\frac{4}{5}+\frac{24}{10+2}$$

Add 10 and 2 to get 12.

$$\frac{4}{5}+\frac{24}{12}$$

Divide 24 by 12 to get 2.

$$\frac{4}{5}+2$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{4}{5}+\frac{10}{5}$$

Since \frac{4}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+10}{5}$$

Add 4 and 10 to get 14.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$