Solve 36/7+0.25-21/4=

$$3 \frac { 6 } { 7 } + 0.25 - 2 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{13}{7}\approx 1.857142857$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+6}{7}+0.25-\frac{2\times 4+1}{4}$$

Add 21 and 6 to get 27.

$$\frac{27}{7}+0.25-\frac{2\times 4+1}{4}$$

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.

$$\frac{27}{7}+\frac{1}{4}-\frac{2\times 4+1}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{27}{7} and \frac{1}{4} to fractions with denominator 28.

$$\frac{108}{28}+\frac{7}{28}-\frac{2\times 4+1}{4}$$

Since \frac{108}{28} and \frac{7}{28} have the same denominator, add them by adding their numerators.

$$\frac{108+7}{28}-\frac{2\times 4+1}{4}$$

Add 108 and 7 to get 115.

$$\frac{115}{28}-\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{115}{28}-\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{115}{28}-\frac{9}{4}$$

Least common multiple of 28 and 4 is 28. Convert \frac{115}{28} and \frac{9}{4} to fractions with denominator 28.

$$\frac{115}{28}-\frac{63}{28}$$

Since \frac{115}{28} and \frac{63}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-63}{28}$$

Subtract 63 from 115 to get 52.

$$\frac{52}{28}$$

Reduce the fraction \frac{52}{28} to lowest terms by extracting and canceling out 4.

$$\frac{13}{7}$$

Factor

$$\frac{13}{7} = 1\frac{6}{7} = 1.8571428571428572$$