Solve 59/10-39/10+46/13

$$5 \frac { 9 } { 10 } - 3 \frac { 9 } { 10 } + 4 \frac { 6 } { 13 }$$

Evaluate

$$\frac{84}{13}\approx 6.461538462$$

Solution Steps

Multiply 5 and 10 to get 50.

$$\frac{50+9}{10}-\frac{3\times 10+9}{10}+\frac{4\times 13+6}{13}$$

Add 50 and 9 to get 59.

$$\frac{59}{10}-\frac{3\times 10+9}{10}+\frac{4\times 13+6}{13}$$

Multiply 3 and 10 to get 30.

$$\frac{59}{10}-\frac{30+9}{10}+\frac{4\times 13+6}{13}$$

Add 30 and 9 to get 39.

$$\frac{59}{10}-\frac{39}{10}+\frac{4\times 13+6}{13}$$

Since \frac{59}{10} and \frac{39}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{59-39}{10}+\frac{4\times 13+6}{13}$$

Subtract 39 from 59 to get 20.

$$\frac{20}{10}+\frac{4\times 13+6}{13}$$

Divide 20 by 10 to get 2.

$$2+\frac{4\times 13+6}{13}$$

Multiply 4 and 13 to get 52.

$$2+\frac{52+6}{13}$$

Add 52 and 6 to get 58.

$$2+\frac{58}{13}$$

Convert 2 to fraction \frac{26}{13}.

$$\frac{26}{13}+\frac{58}{13}$$

Since \frac{26}{13} and \frac{58}{13} have the same denominator, add them by adding their numerators.

$$\frac{26+58}{13}$$

Add 26 and 58 to get 84.

$$\frac{84}{13}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 7}{13} = 6\frac{6}{13} = 6.461538461538462$$