Solve 1/38+1/12=1/5

$$\frac { 1 } { 38 } + \frac { 1 } { 12 } = \frac { 1 } { 5 }$$

Verify

Solution Steps

Least common multiple of 38 and 12 is 228. Convert \frac{1}{38} and \frac{1}{12} to fractions with denominator 228.

$$\frac{6}{228}+\frac{19}{228}=\frac{1}{5}$$

Since \frac{6}{228} and \frac{19}{228} have the same denominator, add them by adding their numerators.

$$\frac{6+19}{228}=\frac{1}{5}$$

Add 6 and 19 to get 25.

$$\frac{25}{228}=\frac{1}{5}$$

Least common multiple of 228 and 5 is 1140. Convert \frac{25}{228} and \frac{1}{5} to fractions with denominator 1140.

$$\frac{125}{1140}=\frac{228}{1140}$$

Compare \frac{125}{1140} and \frac{228}{1140}.

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