Solve 31/3*52/5+2.5div6.25

$$3 \frac { 1 } { 3 } \times 5 \frac { 2 } { 5 } + 2.5 \div 6.25$$

Evaluate

$$18.4$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}\times \frac{5\times 5+2}{5}+\frac{2.5}{6.25}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}\times \frac{5\times 5+2}{5}+\frac{2.5}{6.25}$$

Multiply 5 and 5 to get 25.

$$\frac{10}{3}\times \frac{25+2}{5}+\frac{2.5}{6.25}$$

Add 25 and 2 to get 27.

$$\frac{10}{3}\times \frac{27}{5}+\frac{2.5}{6.25}$$

Multiply \frac{10}{3} times \frac{27}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 27}{3\times 5}+\frac{2.5}{6.25}$$

Do the multiplications in the fraction \frac{10\times 27}{3\times 5}.

$$\frac{270}{15}+\frac{2.5}{6.25}$$

Divide 270 by 15 to get 18.

$$18+\frac{2.5}{6.25}$$

Expand \frac{2.5}{6.25} by multiplying both numerator and the denominator by 100.

$$18+\frac{250}{625}$$

Reduce the fraction \frac{250}{625} to lowest terms by extracting and canceling out 125.

$$18+\frac{2}{5}$$

Convert 18 to fraction \frac{90}{5}.

$$\frac{90}{5}+\frac{2}{5}$$

Since \frac{90}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{90+2}{5}$$

Add 90 and 2 to get 92.

$$\frac{92}{5}$$

Factor

$$\frac{23 \cdot 2 ^ {2}}{5} = 18\frac{2}{5} = 18.4$$