Solve 2.6*1/3+23/5*2/3

$$2.6 \times \frac { 1 } { 3 } + 2 \frac { 3 } { 5 } \times \frac { 2 } { 3 }$$

Evaluate

$$2.6$$

Solution Steps

Convert decimal number 2.6 to fraction \frac{26}{10}. Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$\frac{13}{5}\times \frac{1}{3}+\frac{2\times 5+3}{5}\times \frac{2}{3}$$

Multiply \frac{13}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 1}{5\times 3}+\frac{2\times 5+3}{5}\times \frac{2}{3}$$

Do the multiplications in the fraction \frac{13\times 1}{5\times 3}.

$$\frac{13}{15}+\frac{2\times 5+3}{5}\times \frac{2}{3}$$

Multiply 2 and 5 to get 10.

$$\frac{13}{15}+\frac{10+3}{5}\times \frac{2}{3}$$

Add 10 and 3 to get 13.

$$\frac{13}{15}+\frac{13}{5}\times \frac{2}{3}$$

Multiply \frac{13}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13}{15}+\frac{13\times 2}{5\times 3}$$

Do the multiplications in the fraction \frac{13\times 2}{5\times 3}.

$$\frac{13}{15}+\frac{26}{15}$$

Since \frac{13}{15} and \frac{26}{15} have the same denominator, add them by adding their numerators.

$$\frac{13+26}{15}$$

Add 13 and 26 to get 39.

$$\frac{39}{15}$$

Reduce the fraction \frac{39}{15} to lowest terms by extracting and canceling out 3.

$$\frac{13}{5}$$

Factor

$$\frac{13}{5} = 2\frac{3}{5} = 2.6$$