Solve -1.53*0.75-0.53*(-3/4)

$$- 1.53 \times 0.75 - 0.53 \times ( - \frac { 3 } { 4 } )$$

Evaluate

$$-0.75$$

Solution Steps

Multiply -1.53 and 0.75 to get -1.1475.

$$-1.1475-0.53\left(-\frac{3}{4}\right)$$

Convert decimal number 0.53 to fraction \frac{53}{100}.

$$-1.1475-\frac{53}{100}\left(-\frac{3}{4}\right)$$

Multiply \frac{53}{100} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$-1.1475-\frac{53\left(-3\right)}{100\times 4}$$

Do the multiplications in the fraction \frac{53\left(-3\right)}{100\times 4}.

$$-1.1475-\frac{-159}{400}$$

Fraction \frac{-159}{400} can be rewritten as -\frac{159}{400} by extracting the negative sign.

$$-1.1475-\left(-\frac{159}{400}\right)$$

The opposite of -\frac{159}{400} is \frac{159}{400}.

$$-1.1475+\frac{159}{400}$$

Convert decimal number -1.1475 to fraction -\frac{11475}{10000}. Reduce the fraction -\frac{11475}{10000} to lowest terms by extracting and canceling out 25.

$$-\frac{459}{400}+\frac{159}{400}$$

Since -\frac{459}{400} and \frac{159}{400} have the same denominator, add them by adding their numerators.

$$\frac{-459+159}{400}$$

Add -459 and 159 to get -300.

$$\frac{-300}{400}$$

Reduce the fraction \frac{-300}{400} to lowest terms by extracting and canceling out 100.

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

Factor

$$-0.75$$