Solve 23/4+71/4+21/5=

$$2 \frac { 3 } { 4 } + 7 \frac { 1 } { 4 } + 2 \frac { 1 } { 5 } =$$

Evaluate

$$\frac{61}{5}=12.2$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}+\frac{7\times 4+1}{4}+\frac{2\times 5+1}{5}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}+\frac{7\times 4+1}{4}+\frac{2\times 5+1}{5}$$

Multiply 7 and 4 to get 28.

$$\frac{11}{4}+\frac{28+1}{4}+\frac{2\times 5+1}{5}$$

Add 28 and 1 to get 29.

$$\frac{11}{4}+\frac{29}{4}+\frac{2\times 5+1}{5}$$

Since \frac{11}{4} and \frac{29}{4} have the same denominator, add them by adding their numerators.

$$\frac{11+29}{4}+\frac{2\times 5+1}{5}$$

Add 11 and 29 to get 40.

$$\frac{40}{4}+\frac{2\times 5+1}{5}$$

Divide 40 by 4 to get 10.

$$10+\frac{2\times 5+1}{5}$$

Multiply 2 and 5 to get 10.

$$10+\frac{10+1}{5}$$

Add 10 and 1 to get 11.

$$10+\frac{11}{5}$$

Convert 10 to fraction \frac{50}{5}.

$$\frac{50}{5}+\frac{11}{5}$$

Since \frac{50}{5} and \frac{11}{5} have the same denominator, add them by adding their numerators.

$$\frac{50+11}{5}$$

Add 50 and 11 to get 61.

$$\frac{61}{5}$$

Factor

$$\frac{61}{5} = 12\frac{1}{5} = 12.2$$