Solve 10/5+3/9=13/14

$$\frac { 10 } { 5 } + \frac { 3 } { 9 } = \frac { 13 } { 14 }$$

Verify

Solution Steps

Divide 10 by 5 to get 2.

$$2+\frac{3}{9}=\frac{13}{14}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$2+\frac{1}{3}=\frac{13}{14}$$

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

$$\frac{6}{3}+\frac{1}{3}=\frac{13}{14}$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{3}=\frac{13}{14}$$

Add 6 and 1 to get 7.

$$\frac{7}{3}=\frac{13}{14}$$

Least common multiple of 3 and 14 is 42. Convert \frac{7}{3} and \frac{13}{14} to fractions with denominator 42.

$$\frac{98}{42}=\frac{39}{42}$$

Compare \frac{98}{42} and \frac{39}{42}.

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