Solve 324/15+23/30+430/25-9/20

$$3 \frac{ 24 }{ 15 } + \frac{ 23 }{ 30 } +4 \frac{ 30 }{ 25 } - \frac{ 9 }{ 20 }$$

Evaluate

$$\frac{607}{60}\approx 10.116666667$$

Solution Steps

Multiply 3 and 15 to get 45.

$$\frac{45+24}{15}+\frac{23}{30}+\frac{4\times 25+30}{25}-\frac{9}{20}$$

Add 45 and 24 to get 69.

$$\frac{69}{15}+\frac{23}{30}+\frac{4\times 25+30}{25}-\frac{9}{20}$$

Reduce the fraction \frac{69}{15} to lowest terms by extracting and canceling out 3.

$$\frac{23}{5}+\frac{23}{30}+\frac{4\times 25+30}{25}-\frac{9}{20}$$

Least common multiple of 5 and 30 is 30. Convert \frac{23}{5} and \frac{23}{30} to fractions with denominator 30.

$$\frac{138}{30}+\frac{23}{30}+\frac{4\times 25+30}{25}-\frac{9}{20}$$

Since \frac{138}{30} and \frac{23}{30} have the same denominator, add them by adding their numerators.

$$\frac{138+23}{30}+\frac{4\times 25+30}{25}-\frac{9}{20}$$

Add 138 and 23 to get 161.

$$\frac{161}{30}+\frac{4\times 25+30}{25}-\frac{9}{20}$$

Multiply 4 and 25 to get 100.

$$\frac{161}{30}+\frac{100+30}{25}-\frac{9}{20}$$

Add 100 and 30 to get 130.

$$\frac{161}{30}+\frac{130}{25}-\frac{9}{20}$$

Reduce the fraction \frac{130}{25} to lowest terms by extracting and canceling out 5.

$$\frac{161}{30}+\frac{26}{5}-\frac{9}{20}$$

Least common multiple of 30 and 5 is 30. Convert \frac{161}{30} and \frac{26}{5} to fractions with denominator 30.

$$\frac{161}{30}+\frac{156}{30}-\frac{9}{20}$$

Since \frac{161}{30} and \frac{156}{30} have the same denominator, add them by adding their numerators.

$$\frac{161+156}{30}-\frac{9}{20}$$

Add 161 and 156 to get 317.

$$\frac{317}{30}-\frac{9}{20}$$

Least common multiple of 30 and 20 is 60. Convert \frac{317}{30} and \frac{9}{20} to fractions with denominator 60.

$$\frac{634}{60}-\frac{27}{60}$$

Since \frac{634}{60} and \frac{27}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{634-27}{60}$$

Subtract 27 from 634 to get 607.

$$\frac{607}{60}$$

Factor

$$\frac{607}{2 ^ {2} \cdot 3 \cdot 5} = 10\frac{7}{60} = 10.116666666666667$$