Solve 13/10+564/100

$$1 \frac { 3 } { 10 } + 5 \frac { 64 } { 100 }$$

Evaluate

$$\frac{347}{50}=6.94$$

Solution Steps

Multiply 1 and 10 to get 10.

$$\frac{10+3}{10}+\frac{5\times 100+64}{100}$$

Add 10 and 3 to get 13.

$$\frac{13}{10}+\frac{5\times 100+64}{100}$$

Multiply 5 and 100 to get 500.

$$\frac{13}{10}+\frac{500+64}{100}$$

Add 500 and 64 to get 564.

$$\frac{13}{10}+\frac{564}{100}$$

Reduce the fraction \frac{564}{100} to lowest terms by extracting and canceling out 4.

$$\frac{13}{10}+\frac{141}{25}$$

Least common multiple of 10 and 25 is 50. Convert \frac{13}{10} and \frac{141}{25} to fractions with denominator 50.

$$\frac{65}{50}+\frac{282}{50}$$

Since \frac{65}{50} and \frac{282}{50} have the same denominator, add them by adding their numerators.

$$\frac{65+282}{50}$$

Add 65 and 282 to get 347.

$$\frac{347}{50}$$

Factor

$$\frac{347}{2 \cdot 5 ^ {2}} = 6\frac{47}{50} = 6.94$$