Solve 21/47+9/45+26/47+4/5

$$\frac{ 21 }{ 47 } + \frac{ 9 }{ 45 } + \frac{ 26 }{ 47 } + \frac{ 4 }{ 5 }$$

Evaluate

$$2$$

Solution Steps

Reduce the fraction \frac{9}{45} to lowest terms by extracting and canceling out 9.

$$\frac{21}{47}+\frac{1}{5}+\frac{26}{47}+\frac{4}{5}$$

Least common multiple of 47 and 5 is 235. Convert \frac{21}{47} and \frac{1}{5} to fractions with denominator 235.

$$\frac{105}{235}+\frac{47}{235}+\frac{26}{47}+\frac{4}{5}$$

Since \frac{105}{235} and \frac{47}{235} have the same denominator, add them by adding their numerators.

$$\frac{105+47}{235}+\frac{26}{47}+\frac{4}{5}$$

Add 105 and 47 to get 152.

$$\frac{152}{235}+\frac{26}{47}+\frac{4}{5}$$

Least common multiple of 235 and 47 is 235. Convert \frac{152}{235} and \frac{26}{47} to fractions with denominator 235.

$$\frac{152}{235}+\frac{130}{235}+\frac{4}{5}$$

Since \frac{152}{235} and \frac{130}{235} have the same denominator, add them by adding their numerators.

$$\frac{152+130}{235}+\frac{4}{5}$$

Add 152 and 130 to get 282.

$$\frac{282}{235}+\frac{4}{5}$$

Reduce the fraction \frac{282}{235} to lowest terms by extracting and canceling out 47.

$$\frac{6}{5}+\frac{4}{5}$$

Since \frac{6}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{6+4}{5}$$

Add 6 and 4 to get 10.

$$\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$2$$

Factor

$$2$$