Solve 4/7+3/4+2/7+1/4=

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

Evaluate

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

Solution Steps

Least common multiple of 7 and 4 is 28. Convert \frac{4}{7} and \frac{3}{4} to fractions with denominator 28.

$$\frac{16}{28}+\frac{21}{28}+\frac{2}{7}+\frac{1}{4}$$

Since \frac{16}{28} and \frac{21}{28} have the same denominator, add them by adding their numerators.

$$\frac{16+21}{28}+\frac{2}{7}+\frac{1}{4}$$

Add 16 and 21 to get 37.

$$\frac{37}{28}+\frac{2}{7}+\frac{1}{4}$$

Least common multiple of 28 and 7 is 28. Convert \frac{37}{28} and \frac{2}{7} to fractions with denominator 28.

$$\frac{37}{28}+\frac{8}{28}+\frac{1}{4}$$

Since \frac{37}{28} and \frac{8}{28} have the same denominator, add them by adding their numerators.

$$\frac{37+8}{28}+\frac{1}{4}$$

Add 37 and 8 to get 45.

$$\frac{45}{28}+\frac{1}{4}$$

Least common multiple of 28 and 4 is 28. Convert \frac{45}{28} and \frac{1}{4} to fractions with denominator 28.

$$\frac{45}{28}+\frac{7}{28}$$

Since \frac{45}{28} and \frac{7}{28} have the same denominator, add them by adding their numerators.

$$\frac{45+7}{28}$$

Add 45 and 7 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

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