Solve 6/21+7/90+7/9

$$\frac { 6 } { 21 } + \frac { 7 } { 90 } + \frac { 7 } { 9 }$$

Evaluate

$$\frac{719}{630}\approx 1.141269841$$

Solution Steps

Reduce the fraction \frac{6}{21} to lowest terms by extracting and canceling out 3.

$$\frac{2}{7}+\frac{7}{90}+\frac{7}{9}$$

Least common multiple of 7 and 90 is 630. Convert \frac{2}{7} and \frac{7}{90} to fractions with denominator 630.

$$\frac{180}{630}+\frac{49}{630}+\frac{7}{9}$$

Since \frac{180}{630} and \frac{49}{630} have the same denominator, add them by adding their numerators.

$$\frac{180+49}{630}+\frac{7}{9}$$

Add 180 and 49 to get 229.

$$\frac{229}{630}+\frac{7}{9}$$

Least common multiple of 630 and 9 is 630. Convert \frac{229}{630} and \frac{7}{9} to fractions with denominator 630.

$$\frac{229}{630}+\frac{490}{630}$$

Since \frac{229}{630} and \frac{490}{630} have the same denominator, add them by adding their numerators.

$$\frac{229+490}{630}$$

Add 229 and 490 to get 719.

$$\frac{719}{630}$$

Factor

$$\frac{719}{2 \cdot 3 ^ {2} \cdot 5 \cdot 7} = 1\frac{89}{630} = 1.1412698412698412$$