Solve 1/2+1/3+1/4=17

$$\frac { 1 } { 2 } + 1 / 3 + 1 / 4 = 17$$

Verify

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{2}{6}+\frac{1}{4}=17$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{6}+\frac{1}{4}=17$$

Add 3 and 2 to get 5.

$$\frac{5}{6}+\frac{1}{4}=17$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{10}{12}+\frac{3}{12}=17$$

Since \frac{10}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{12}=17$$

Add 10 and 3 to get 13.

$$\frac{13}{12}=17$$

Convert 17 to fraction \frac{204}{12}.

$$\frac{13}{12}=\frac{204}{12}$$

Compare \frac{13}{12} and \frac{204}{12}.

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