Solve (3/20+2/13)*5+3/13

$$( \frac { 3 } { 20 } + \frac { 2 } { 13 } ) \times 5 + \frac { 3 } { 13 }$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Least common multiple of 20 and 13 is 260. Convert \frac{3}{20} and \frac{2}{13} to fractions with denominator 260.

$$\left(\frac{39}{260}+\frac{40}{260}\right)\times 5+\frac{3}{13}$$

Since \frac{39}{260} and \frac{40}{260} have the same denominator, add them by adding their numerators.

$$\frac{39+40}{260}\times 5+\frac{3}{13}$$

Add 39 and 40 to get 79.

$$\frac{79}{260}\times 5+\frac{3}{13}$$

Express \frac{79}{260}\times 5 as a single fraction.

$$\frac{79\times 5}{260}+\frac{3}{13}$$

Multiply 79 and 5 to get 395.

$$\frac{395}{260}+\frac{3}{13}$$

Reduce the fraction \frac{395}{260} to lowest terms by extracting and canceling out 5.

$$\frac{79}{52}+\frac{3}{13}$$

Least common multiple of 52 and 13 is 52. Convert \frac{79}{52} and \frac{3}{13} to fractions with denominator 52.

$$\frac{79}{52}+\frac{12}{52}$$

Since \frac{79}{52} and \frac{12}{52} have the same denominator, add them by adding their numerators.

$$\frac{79+12}{52}$$

Add 79 and 12 to get 91.

$$\frac{91}{52}$$

Reduce the fraction \frac{91}{52} to lowest terms by extracting and canceling out 13.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$