Solve 19/35-2/7=quad5/21+2/3=

$$\frac { 19 } { 35 } - \frac { 2 } { 7 } = \quad \frac { 5 } { 21 } + \frac { 2 } { 3 } =$$

Verify

Solution Steps

Least common multiple of 35 and 7 is 35. Convert \frac{19}{35} and \frac{2}{7} to fractions with denominator 35.

$$\frac{19}{35}-\frac{10}{35}=\frac{5}{21}+\frac{2}{3}$$

Since \frac{19}{35} and \frac{10}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-10}{35}=\frac{5}{21}+\frac{2}{3}$$

Subtract 10 from 19 to get 9.

$$\frac{9}{35}=\frac{5}{21}+\frac{2}{3}$$

Least common multiple of 21 and 3 is 21. Convert \frac{5}{21} and \frac{2}{3} to fractions with denominator 21.

$$\frac{9}{35}=\frac{5}{21}+\frac{14}{21}$$

Since \frac{5}{21} and \frac{14}{21} have the same denominator, add them by adding their numerators.

$$\frac{9}{35}=\frac{5+14}{21}$$

Add 5 and 14 to get 19.

$$\frac{9}{35}=\frac{19}{21}$$

Least common multiple of 35 and 21 is 105. Convert \frac{9}{35} and \frac{19}{21} to fractions with denominator 105.

$$\frac{27}{105}=\frac{95}{105}$$

Compare \frac{27}{105} and \frac{95}{105}.

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