Solve 1/4+1+6.25-0.75-3/4

$$\frac{ 1 }{ 4 } +1+6.25-0.75- \frac{ 3 }{ 4 }$$

Evaluate

$$6$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

$$\frac{1}{4}+\frac{4}{4}+6.25-0.75-\frac{3}{4}$$

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

$$\frac{1+4}{4}+6.25-0.75-\frac{3}{4}$$

Add 1 and 4 to get 5.

$$\frac{5}{4}+6.25-0.75-\frac{3}{4}$$

Convert decimal number 6.25 to fraction \frac{625}{100}. Reduce the fraction \frac{625}{100} to lowest terms by extracting and canceling out 25.

$$\frac{5}{4}+\frac{25}{4}-0.75-\frac{3}{4}$$

Since \frac{5}{4} and \frac{25}{4} have the same denominator, add them by adding their numerators.

$$\frac{5+25}{4}-0.75-\frac{3}{4}$$

Add 5 and 25 to get 30.

$$\frac{30}{4}-0.75-\frac{3}{4}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}-0.75-\frac{3}{4}$$

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.

$$\frac{15}{2}-\frac{3}{4}-\frac{3}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{15}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{30}{4}-\frac{3}{4}-\frac{3}{4}$$

Since \frac{30}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-3}{4}-\frac{3}{4}$$

Subtract 3 from 30 to get 27.

$$\frac{27}{4}-\frac{3}{4}$$

Since \frac{27}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-3}{4}$$

Subtract 3 from 27 to get 24.

$$\frac{24}{4}$$

Divide 24 by 4 to get 6.

$$6$$

Factor

$$2\times 3$$