Solve 23/5*55/5+73/2:2

$$2 \frac { 3 } { 5 } \times 5 \frac { 5 } { 5 } + 7 \frac { 3 } { 2 } : 2$$

Evaluate

$$\frac{397}{20}=19.85$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}\times \frac{5\times 5+5}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}\times \frac{5\times 5+5}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Multiply 5 and 5 to get 25.

$$\frac{13}{5}\times \frac{25+5}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Add 25 and 5 to get 30.

$$\frac{13}{5}\times \frac{30}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Divide 30 by 5 to get 6.

$$\frac{13}{5}\times 6+\frac{\frac{7\times 2+3}{2}}{2}$$

Express \frac{13}{5}\times 6 as a single fraction.

$$\frac{13\times 6}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Multiply 13 and 6 to get 78.

$$\frac{78}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Express \frac{\frac{7\times 2+3}{2}}{2} as a single fraction.

$$\frac{78}{5}+\frac{7\times 2+3}{2\times 2}$$

Multiply 7 and 2 to get 14.

$$\frac{78}{5}+\frac{14+3}{2\times 2}$$

Add 14 and 3 to get 17.

$$\frac{78}{5}+\frac{17}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{78}{5}+\frac{17}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{78}{5} and \frac{17}{4} to fractions with denominator 20.

$$\frac{312}{20}+\frac{85}{20}$$

Since \frac{312}{20} and \frac{85}{20} have the same denominator, add them by adding their numerators.

$$\frac{312+85}{20}$$

Add 312 and 85 to get 397.

$$\frac{397}{20}$$

Factor

$$\frac{397}{2 ^ {2} \cdot 5} = 19\frac{17}{20} = 19.85$$