Solve 2+1*3/2+2:3=

$$\frac { 2 + 1 \times 3 } { 2 + 2 : 3 } =$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 2 and 3 to get 5.

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

Convert 2 to fraction \frac{6}{3}.

$$\frac{5}{\frac{6}{3}+\frac{2}{3}}$$

Since \frac{6}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{5}{\frac{6+2}{3}}$$

Add 6 and 2 to get 8.

$$\frac{5}{\frac{8}{3}}$$

Divide 5 by \frac{8}{3} by multiplying 5 by the reciprocal of \frac{8}{3}.

$$5\times \frac{3}{8}$$

Express 5\times \frac{3}{8} as a single fraction.

$$\frac{5\times 3}{8}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$