Solve 21/3*(3.25-4)-18.21+(-3)

$$2 \frac { 1 } { 3 } \times ( 3.25 - 4 ) - 18.21 + ( - 3 )$$

Evaluate

$$-22.96$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3}\left(3.25-4\right)-18.21-3$$

Add 6 and 1 to get 7.

$$\frac{7}{3}\left(3.25-4\right)-18.21-3$$

Subtract 4 from 3.25 to get -0.75.

$$\frac{7}{3}\left(-0.75\right)-18.21-3$$

Convert decimal number -0.75 to fraction -\frac{75}{100}. Reduce the fraction -\frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{3}\left(-\frac{3}{4}\right)-18.21-3$$

Multiply \frac{7}{3} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-3\right)}{3\times 4}-18.21-3$$

Do the multiplications in the fraction \frac{7\left(-3\right)}{3\times 4}.

$$\frac{-21}{12}-18.21-3$$

Reduce the fraction \frac{-21}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{7}{4}-18.21-3$$

Convert decimal number 18.21 to fraction \frac{1821}{100}.

$$-\frac{7}{4}-\frac{1821}{100}-3$$

Least common multiple of 4 and 100 is 100. Convert -\frac{7}{4} and \frac{1821}{100} to fractions with denominator 100.

$$-\frac{175}{100}-\frac{1821}{100}-3$$

Since -\frac{175}{100} and \frac{1821}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-175-1821}{100}-3$$

Subtract 1821 from -175 to get -1996.

$$\frac{-1996}{100}-3$$

Reduce the fraction \frac{-1996}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{499}{25}-3$$

Convert 3 to fraction \frac{75}{25}.

$$-\frac{499}{25}-\frac{75}{25}$$

Since -\frac{499}{25} and \frac{75}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-499-75}{25}$$

Subtract 75 from -499 to get -574.

$$-\frac{574}{25}$$

Factor

$$-22.96$$