Solve 142/5+63/5/1frac{2{5}+53/5}

$$\frac { 14 \frac { 2 } { 5 } + 6 \frac { 3 } { 5 } } { 1 \frac { 2 } { 5 } + 5 \frac { 3 } { 5 } }$$

Evaluate

$$3$$

Solution Steps

Multiply 14 and 5 to get 70.

$$\frac{\frac{70+2}{5}+\frac{6\times 5+3}{5}}{\frac{1\times 5+2}{5}+\frac{5\times 5+3}{5}}$$

Add 70 and 2 to get 72.

$$\frac{\frac{72}{5}+\frac{6\times 5+3}{5}}{\frac{1\times 5+2}{5}+\frac{5\times 5+3}{5}}$$

Multiply 6 and 5 to get 30.

$$\frac{\frac{72}{5}+\frac{30+3}{5}}{\frac{1\times 5+2}{5}+\frac{5\times 5+3}{5}}$$

Add 30 and 3 to get 33.

$$\frac{\frac{72}{5}+\frac{33}{5}}{\frac{1\times 5+2}{5}+\frac{5\times 5+3}{5}}$$

Since \frac{72}{5} and \frac{33}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{72+33}{5}}{\frac{1\times 5+2}{5}+\frac{5\times 5+3}{5}}$$

Add 72 and 33 to get 105.

$$\frac{\frac{105}{5}}{\frac{1\times 5+2}{5}+\frac{5\times 5+3}{5}}$$

Divide 105 by 5 to get 21.

$$\frac{21}{\frac{1\times 5+2}{5}+\frac{5\times 5+3}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{21}{\frac{5+2}{5}+\frac{5\times 5+3}{5}}$$

Add 5 and 2 to get 7.

$$\frac{21}{\frac{7}{5}+\frac{5\times 5+3}{5}}$$

Multiply 5 and 5 to get 25.

$$\frac{21}{\frac{7}{5}+\frac{25+3}{5}}$$

Add 25 and 3 to get 28.

$$\frac{21}{\frac{7}{5}+\frac{28}{5}}$$

Since \frac{7}{5} and \frac{28}{5} have the same denominator, add them by adding their numerators.

$$\frac{21}{\frac{7+28}{5}}$$

Add 7 and 28 to get 35.

$$\frac{21}{\frac{35}{5}}$$

Divide 35 by 5 to get 7.

$$\frac{21}{7}$$

Divide 21 by 7 to get 3.

$$3$$

Factor

$$3$$