Solve 21/20+35/10+9+7/30

$$2 \frac { 1 } { 20 } + 3 \frac { 5 } { 10 } + 9 + \frac { 7 } { 30 }$$

Evaluate

$$\frac{887}{60}\approx 14.783333333$$

Solution Steps

Multiply 2 and 20 to get 40.

$$\frac{40+1}{20}+\frac{3\times 10+5}{10}+9+\frac{7}{30}$$

Add 40 and 1 to get 41.

$$\frac{41}{20}+\frac{3\times 10+5}{10}+9+\frac{7}{30}$$

Multiply 3 and 10 to get 30.

$$\frac{41}{20}+\frac{30+5}{10}+9+\frac{7}{30}$$

Add 30 and 5 to get 35.

$$\frac{41}{20}+\frac{35}{10}+9+\frac{7}{30}$$

Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{41}{20}+\frac{7}{2}+9+\frac{7}{30}$$

Least common multiple of 20 and 2 is 20. Convert \frac{41}{20} and \frac{7}{2} to fractions with denominator 20.

$$\frac{41}{20}+\frac{70}{20}+9+\frac{7}{30}$$

Since \frac{41}{20} and \frac{70}{20} have the same denominator, add them by adding their numerators.

$$\frac{41+70}{20}+9+\frac{7}{30}$$

Add 41 and 70 to get 111.

$$\frac{111}{20}+9+\frac{7}{30}$$

Convert 9 to fraction \frac{180}{20}.

$$\frac{111}{20}+\frac{180}{20}+\frac{7}{30}$$

Since \frac{111}{20} and \frac{180}{20} have the same denominator, add them by adding their numerators.

$$\frac{111+180}{20}+\frac{7}{30}$$

Add 111 and 180 to get 291.

$$\frac{291}{20}+\frac{7}{30}$$

Least common multiple of 20 and 30 is 60. Convert \frac{291}{20} and \frac{7}{30} to fractions with denominator 60.

$$\frac{873}{60}+\frac{14}{60}$$

Since \frac{873}{60} and \frac{14}{60} have the same denominator, add them by adding their numerators.

$$\frac{873+14}{60}$$

Add 873 and 14 to get 887.

$$\frac{887}{60}$$

Factor

$$\frac{887}{2 ^ {2} \cdot 3 \cdot 5} = 14\frac{47}{60} = 14.783333333333333$$