Solve 3.76+3/4*(-4.5)

$$3.76 + \frac { 3 } { 4 } \times ( - 4.5 )$$

Evaluate

$$0.385$$

Solution Steps

Convert decimal number -4.5 to fraction -\frac{45}{10}. Reduce the fraction -\frac{45}{10} to lowest terms by extracting and canceling out 5.

$$3.76+\frac{3}{4}\left(-\frac{9}{2}\right)$$

Multiply \frac{3}{4} times -\frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$3.76+\frac{3\left(-9\right)}{4\times 2}$$

Do the multiplications in the fraction \frac{3\left(-9\right)}{4\times 2}.

$$3.76+\frac{-27}{8}$$

Fraction \frac{-27}{8} can be rewritten as -\frac{27}{8} by extracting the negative sign.

$$3.76-\frac{27}{8}$$

Convert decimal number 3.76 to fraction \frac{376}{100}. Reduce the fraction \frac{376}{100} to lowest terms by extracting and canceling out 4.

$$\frac{94}{25}-\frac{27}{8}$$

Least common multiple of 25 and 8 is 200. Convert \frac{94}{25} and \frac{27}{8} to fractions with denominator 200.

$$\frac{752}{200}-\frac{675}{200}$$

Since \frac{752}{200} and \frac{675}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{752-675}{200}$$

Subtract 675 from 752 to get 77.

$$\frac{77}{200}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {3} \cdot 5 ^ {2}} = 0.385$$