Solve 15/9div21/3-(-325)*5/13

$$1 \frac { 5 } { 9 } \div 2 \frac { 1 } { 3 } - ( - 325 ) \times \frac { 5 } { 13 }$$

Evaluate

$$\frac{377}{3}\approx 125.666666667$$

Solution Steps

Divide \frac{1\times 9+5}{9} by \frac{2\times 3+1}{3} by multiplying \frac{1\times 9+5}{9} by the reciprocal of \frac{2\times 3+1}{3}.

$$\frac{\left(1\times 9+5\right)\times 3}{9\left(2\times 3+1\right)}-\left(-325\times \frac{5}{13}\right)$$

Cancel out 3 in both numerator and denominator.

$$\frac{5+9}{3\left(1+2\times 3\right)}-\left(-325\times \frac{5}{13}\right)$$

Add 5 and 9 to get 14.

$$\frac{14}{3\left(1+2\times 3\right)}-\left(-325\times \frac{5}{13}\right)$$

Multiply 2 and 3 to get 6.

$$\frac{14}{3\left(1+6\right)}-\left(-325\times \frac{5}{13}\right)$$

Add 1 and 6 to get 7.

$$\frac{14}{3\times 7}-\left(-325\times \frac{5}{13}\right)$$

Multiply 3 and 7 to get 21.

$$\frac{14}{21}-\left(-325\times \frac{5}{13}\right)$$

Reduce the fraction \frac{14}{21} to lowest terms by extracting and canceling out 7.

$$\frac{2}{3}-\left(-325\times \frac{5}{13}\right)$$

Express -325\times \frac{5}{13} as a single fraction.

$$\frac{2}{3}-\frac{-325\times 5}{13}$$

Multiply -325 and 5 to get -1625.

$$\frac{2}{3}-\frac{-1625}{13}$$

Divide -1625 by 13 to get -125.

$$\frac{2}{3}-\left(-125\right)$$

The opposite of -125 is 125.

$$\frac{2}{3}+125$$

Convert 125 to fraction \frac{375}{3}.

$$\frac{2}{3}+\frac{375}{3}$$

Since \frac{2}{3} and \frac{375}{3} have the same denominator, add them by adding their numerators.

$$\frac{2+375}{3}$$

Add 2 and 375 to get 377.

$$\frac{377}{3}$$

Factor

$$\frac{13 \cdot 29}{3} = 125\frac{2}{3} = 125.66666666666667$$