Solve (-32/3)-(-23/4)-(-12/3)-(+1.75)

$$( - 3 \frac { 2 } { 3 } ) - ( - 2 \frac { 3 } { 4 } ) - ( - 1 \frac { 2 } { 3 } ) - ( + 1.75 )$$

Evaluate

$$-1$$

Solution Steps

Multiply 3 and 3 to get 9.

$$-\frac{9+2}{3}-\left(-\frac{2\times 4+3}{4}\right)-\left(-\frac{1\times 3+2}{3}\right)-1.75$$

Add 9 and 2 to get 11.

$$-\frac{11}{3}-\left(-\frac{2\times 4+3}{4}\right)-\left(-\frac{1\times 3+2}{3}\right)-1.75$$

Multiply 2 and 4 to get 8.

$$-\frac{11}{3}-\left(-\frac{8+3}{4}\right)-\left(-\frac{1\times 3+2}{3}\right)-1.75$$

Add 8 and 3 to get 11.

$$-\frac{11}{3}-\left(-\frac{11}{4}\right)-\left(-\frac{1\times 3+2}{3}\right)-1.75$$

The opposite of -\frac{11}{4} is \frac{11}{4}.

$$-\frac{11}{3}+\frac{11}{4}-\left(-\frac{1\times 3+2}{3}\right)-1.75$$

Least common multiple of 3 and 4 is 12. Convert -\frac{11}{3} and \frac{11}{4} to fractions with denominator 12.

$$-\frac{44}{12}+\frac{33}{12}-\left(-\frac{1\times 3+2}{3}\right)-1.75$$

Since -\frac{44}{12} and \frac{33}{12} have the same denominator, add them by adding their numerators.

$$\frac{-44+33}{12}-\left(-\frac{1\times 3+2}{3}\right)-1.75$$

Add -44 and 33 to get -11.

$$-\frac{11}{12}-\left(-\frac{1\times 3+2}{3}\right)-1.75$$

Multiply 1 and 3 to get 3.

$$-\frac{11}{12}-\left(-\frac{3+2}{3}\right)-1.75$$

Add 3 and 2 to get 5.

$$-\frac{11}{12}-\left(-\frac{5}{3}\right)-1.75$$

The opposite of -\frac{5}{3} is \frac{5}{3}.

$$-\frac{11}{12}+\frac{5}{3}-1.75$$

Least common multiple of 12 and 3 is 12. Convert -\frac{11}{12} and \frac{5}{3} to fractions with denominator 12.

$$-\frac{11}{12}+\frac{20}{12}-1.75$$

Since -\frac{11}{12} and \frac{20}{12} have the same denominator, add them by adding their numerators.

$$\frac{-11+20}{12}-1.75$$

Add -11 and 20 to get 9.

$$\frac{9}{12}-1.75$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}-1.75$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

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

Since \frac{3}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 7 from 3 to get -4.

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

Divide -4 by 4 to get -1.

$$-1$$

Factor

$$-1$$