Solve 21/2+3/4+0,5+0,25

$$2 \frac { 1 } { 2 } + \frac { 3 } { 4 } + 0,5 + 0,25$$

Evaluate

$$4$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{3}{4}+0,5+0,25$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+\frac{3}{4}+0,5+0,25$$

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{10}{4}+\frac{3}{4}+0,5+0,25$$

Since \frac{10}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{4}+0,5+0,25$$

Add 10 and 3 to get 13.

$$\frac{13}{4}+0,5+0,25$$

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{13}{4}+\frac{1}{2}+0,25$$

Least common multiple of 4 and 2 is 4. Convert \frac{13}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{13}{4}+\frac{2}{4}+0,25$$

Since \frac{13}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{13+2}{4}+0,25$$

Add 13 and 2 to get 15.

$$\frac{15}{4}+0,25$$

Convert decimal number 0,25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{15}{4}+\frac{1}{4}$$

Since \frac{15}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{15+1}{4}$$

Add 15 and 1 to get 16.

$$\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$4$$

Factor

$$2^{2}$$