Solve (25-10/10div3-5/5)*100/1

$$( \frac { 25 - 10 } { 10 } \div \frac { 3 - 5 } { 5 } ) \times \frac { 100 } { 1 }$$

Evaluate

$$-375$$

Solution Steps

Divide \frac{25-10}{10} by \frac{3-5}{5} by multiplying \frac{25-10}{10} by the reciprocal of \frac{3-5}{5}.

$$\frac{\left(25-10\right)\times 5}{10\left(3-5\right)}\times \frac{100}{1}$$

Cancel out 5 in both numerator and denominator.

$$\frac{25-10}{2\left(3-5\right)}\times \frac{100}{1}$$

Subtract 10 from 25 to get 15.

$$\frac{15}{2\left(3-5\right)}\times \frac{100}{1}$$

Subtract 5 from 3 to get -2.

$$\frac{15}{2\left(-2\right)}\times \frac{100}{1}$$

Multiply 2 and -2 to get -4.

$$\frac{15}{-4}\times \frac{100}{1}$$

Fraction \frac{15}{-4} can be rewritten as -\frac{15}{4} by extracting the negative sign.

$$-\frac{15}{4}\times \frac{100}{1}$$

Anything divided by one gives itself.

$$-\frac{15}{4}\times 100$$

Express -\frac{15}{4}\times 100 as a single fraction.

$$\frac{-15\times 100}{4}$$

Multiply -15 and 100 to get -1500.

$$\frac{-1500}{4}$$

Divide -1500 by 4 to get -375.

$$-375$$

Factor

$$-375$$