Solve (7+5/10)+(3+16/10+348/100)

$$( 7 + \frac { 5 } { 10 } ) + ( 3 + \frac { 16 } { 10 } + \frac { 348 } { 100 } )$$

Evaluate

$$\frac{779}{50}=15.58$$

Solution Steps

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

$$7+\frac{1}{2}+3+\frac{16}{10}+\frac{348}{100}$$

Convert 7 to fraction \frac{14}{2}.

$$\frac{14}{2}+\frac{1}{2}+3+\frac{16}{10}+\frac{348}{100}$$

Since \frac{14}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{14+1}{2}+3+\frac{16}{10}+\frac{348}{100}$$

Add 14 and 1 to get 15.

$$\frac{15}{2}+3+\frac{16}{10}+\frac{348}{100}$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{15}{2}+\frac{6}{2}+\frac{16}{10}+\frac{348}{100}$$

Since \frac{15}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$\frac{15+6}{2}+\frac{16}{10}+\frac{348}{100}$$

Add 15 and 6 to get 21.

$$\frac{21}{2}+\frac{16}{10}+\frac{348}{100}$$

Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{21}{2}+\frac{8}{5}+\frac{348}{100}$$

Least common multiple of 2 and 5 is 10. Convert \frac{21}{2} and \frac{8}{5} to fractions with denominator 10.

$$\frac{105}{10}+\frac{16}{10}+\frac{348}{100}$$

Since \frac{105}{10} and \frac{16}{10} have the same denominator, add them by adding their numerators.

$$\frac{105+16}{10}+\frac{348}{100}$$

Add 105 and 16 to get 121.

$$\frac{121}{10}+\frac{348}{100}$$

Reduce the fraction \frac{348}{100} to lowest terms by extracting and canceling out 4.

$$\frac{121}{10}+\frac{87}{25}$$

Least common multiple of 10 and 25 is 50. Convert \frac{121}{10} and \frac{87}{25} to fractions with denominator 50.

$$\frac{605}{50}+\frac{174}{50}$$

Since \frac{605}{50} and \frac{174}{50} have the same denominator, add them by adding their numerators.

$$\frac{605+174}{50}$$

Add 605 and 174 to get 779.

$$\frac{779}{50}$$

Factor

$$\frac{19 \cdot 41}{2 \cdot 5 ^ {2}} = 15\frac{29}{50} = 15.58$$