Solve 7/4-2.5+3

$$\frac { 7 } { 4 } - 2.5 + 3$$

Evaluate

$$2.25$$

Solution Steps

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{4}-\frac{5}{2}+3$$

Least common multiple of 4 and 2 is 4. Convert \frac{7}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{7}{4}-\frac{10}{4}+3$$

Since \frac{7}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-10}{4}+3$$

Subtract 10 from 7 to get -3.

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

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

$$-\frac{3}{4}+\frac{12}{4}$$

Since -\frac{3}{4} and \frac{12}{4} have the same denominator, add them by adding their numerators.

$$\frac{-3+12}{4}$$

Add -3 and 12 to get 9.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$