Solve (100div400)div(-15div65)

$$(100 \div 400) \div (-15 \div 65)$$

Evaluate

$$-\frac{13}{12}\approx -1.083333333$$

Solution Steps

Divide \frac{100}{400} by \frac{-15}{65} by multiplying \frac{100}{400} by the reciprocal of \frac{-15}{65}.

$$\frac{100\times 65}{400\left(-15\right)}$$

Cancel out 5\times 100 in both numerator and denominator.

$$\frac{13}{-3\times 4}$$

Multiply -3 and 4 to get -12.

$$\frac{13}{-12}$$

Fraction \frac{13}{-12} can be rewritten as -\frac{13}{12} by extracting the negative sign.

$$-\frac{13}{12}$$

Factor

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$