Solve 4/9-5/14=19/85

$$\frac { 4 } { 9 } - \frac { 5 } { 14 } = \frac { 19 } { 85 }$$

Verify

Solution Steps

Least common multiple of 9 and 14 is 126. Convert \frac{4}{9} and \frac{5}{14} to fractions with denominator 126.

$$\frac{56}{126}-\frac{45}{126}=\frac{19}{85}$$

Since \frac{56}{126} and \frac{45}{126} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-45}{126}=\frac{19}{85}$$

Subtract 45 from 56 to get 11.

$$\frac{11}{126}=\frac{19}{85}$$

Least common multiple of 126 and 85 is 10710. Convert \frac{11}{126} and \frac{19}{85} to fractions with denominator 10710.

$$\frac{935}{10710}=\frac{2394}{10710}$$

Compare \frac{935}{10710} and \frac{2394}{10710}.

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