Solve 5/9+7/12+13/4=

$$\frac { 5 } { 9 } + \frac { 7 } { 12 } + 1 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{26}{9}\approx 2.888888889$$

Solution Steps

Least common multiple of 9 and 12 is 36. Convert \frac{5}{9} and \frac{7}{12} to fractions with denominator 36.

$$\frac{20}{36}+\frac{21}{36}+\frac{1\times 4+3}{4}$$

Since \frac{20}{36} and \frac{21}{36} have the same denominator, add them by adding their numerators.

$$\frac{20+21}{36}+\frac{1\times 4+3}{4}$$

Add 20 and 21 to get 41.

$$\frac{41}{36}+\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{41}{36}+\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{41}{36}+\frac{7}{4}$$

Least common multiple of 36 and 4 is 36. Convert \frac{41}{36} and \frac{7}{4} to fractions with denominator 36.

$$\frac{41}{36}+\frac{63}{36}$$

Since \frac{41}{36} and \frac{63}{36} have the same denominator, add them by adding their numerators.

$$\frac{41+63}{36}$$

Add 41 and 63 to get 104.

$$\frac{104}{36}$$

Reduce the fraction \frac{104}{36} to lowest terms by extracting and canceling out 4.

$$\frac{26}{9}$$

Factor

$$\frac{2 \cdot 13}{3 ^ {2}} = 2\frac{8}{9} = 2.888888888888889$$