Solve 2.25+(+0.75)-(+23/4)+(-1.75)

$$2.25 + ( + 0.75 ) - ( + 2 \frac { 3 } { 4 } ) + ( - 1.75 )$$

Evaluate

$$-1.5$$

Solution Steps

Add 2.25 and 0.75 to get 3.

$$3-\frac{2\times 4+3}{4}-1.75$$

Multiply 2 and 4 to get 8.

$$3-\frac{8+3}{4}-1.75$$

Add 8 and 3 to get 11.

$$3-\frac{11}{4}-1.75$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{12}{4}-\frac{11}{4}-1.75$$

Since \frac{12}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-11}{4}-1.75$$

Subtract 11 from 12 to get 1.

$$\frac{1}{4}-1.75$$

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.

$$\frac{1}{4}-\frac{7}{4}$$

Since \frac{1}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-7}{4}$$

Subtract 7 from 1 to get -6.

$$\frac{-6}{4}$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{2}$$

Factor

$$-1.5$$