Solve 2255/34div15/17=?

$$225 \frac { 5 } { 34 } \div \frac { 15 } { 17 } = ?$$

Evaluate

$$\frac{1531}{6}\approx 255.166666667$$

Solution Steps

Divide \frac{225\times 34+5}{34} by \frac{15}{17} by multiplying \frac{225\times 34+5}{34} by the reciprocal of \frac{15}{17}.

$$\frac{\left(225\times 34+5\right)\times 17}{34\times 15}$$

Cancel out 17 in both numerator and denominator.

$$\frac{5+34\times 225}{2\times 15}$$

Multiply 34 and 225 to get 7650.

$$\frac{5+7650}{2\times 15}$$

Add 5 and 7650 to get 7655.

$$\frac{7655}{2\times 15}$$

Multiply 2 and 15 to get 30.

$$\frac{7655}{30}$$

Reduce the fraction \frac{7655}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1531}{6}$$

Factor

$$\frac{1531}{2 \cdot 3} = 255\frac{1}{6} = 255.16666666666666$$