Solve 4(-8.77)+0.9-(-0.953-1/3)

$$4 ( - 8.77 ) + 0.9 - ( - 0.953 - \frac { 1 } { 3 } )$$

Evaluate

$$-\frac{98681}{3000}\approx -32.893666667$$

Solution Steps

Multiply 4 and -8.77 to get -35.08.

$$-35.08+0.9-\left(-0.953-\frac{1}{3}\right)$$

Add -35.08 and 0.9 to get -34.18.

$$-34.18-\left(-0.953-\frac{1}{3}\right)$$

Convert decimal number -0.953 to fraction -\frac{953}{1000}.

$$-34.18-\left(-\frac{953}{1000}-\frac{1}{3}\right)$$

Least common multiple of 1000 and 3 is 3000. Convert -\frac{953}{1000} and \frac{1}{3} to fractions with denominator 3000.

$$-34.18-\left(-\frac{2859}{3000}-\frac{1000}{3000}\right)$$

Since -\frac{2859}{3000} and \frac{1000}{3000} have the same denominator, subtract them by subtracting their numerators.

$$-34.18-\frac{-2859-1000}{3000}$$

Subtract 1000 from -2859 to get -3859.

$$-34.18-\left(-\frac{3859}{3000}\right)$$

The opposite of -\frac{3859}{3000} is \frac{3859}{3000}.

$$-34.18+\frac{3859}{3000}$$

Convert decimal number -34.18 to fraction -\frac{3418}{100}. Reduce the fraction -\frac{3418}{100} to lowest terms by extracting and canceling out 2.

$$-\frac{1709}{50}+\frac{3859}{3000}$$

Least common multiple of 50 and 3000 is 3000. Convert -\frac{1709}{50} and \frac{3859}{3000} to fractions with denominator 3000.

$$-\frac{102540}{3000}+\frac{3859}{3000}$$

Since -\frac{102540}{3000} and \frac{3859}{3000} have the same denominator, add them by adding their numerators.

$$\frac{-102540+3859}{3000}$$

Add -102540 and 3859 to get -98681.

$$-\frac{98681}{3000}$$

Factor

$$-\frac{98681}{3000} = -32\frac{2681}{3000} = -32.89366666666667$$