Solve 35/7-(-69/10)

$$3 \frac { 5 } { 7 } - ( - 6 \frac { 9 } { 10 } )$$

Evaluate

$$\frac{743}{70}\approx 10.614285714$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+5}{7}-\left(-\frac{6\times 10+9}{10}\right)$$

Add 21 and 5 to get 26.

$$\frac{26}{7}-\left(-\frac{6\times 10+9}{10}\right)$$

Multiply 6 and 10 to get 60.

$$\frac{26}{7}-\left(-\frac{60+9}{10}\right)$$

Add 60 and 9 to get 69.

$$\frac{26}{7}-\left(-\frac{69}{10}\right)$$

The opposite of -\frac{69}{10} is \frac{69}{10}.

$$\frac{26}{7}+\frac{69}{10}$$

Least common multiple of 7 and 10 is 70. Convert \frac{26}{7} and \frac{69}{10} to fractions with denominator 70.

$$\frac{260}{70}+\frac{483}{70}$$

Since \frac{260}{70} and \frac{483}{70} have the same denominator, add them by adding their numerators.

$$\frac{260+483}{70}$$

Add 260 and 483 to get 743.

$$\frac{743}{70}$$

Factor

$$\frac{743}{2 \cdot 5 \cdot 7} = 10\frac{43}{70} = 10.614285714285714$$