Add 42/72 and 30/14, Solve 42/72 + 2 2/14 as a fraction

Add 42/72 and 30/14

1^st number: 42/72, 2^nd number: 2 2/14

42/72 + 30/14 is 229/84.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 14 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 72 × 7 = 504,
42/72 = 42 × 7/72 × 7 = 294/504
Likewise, for the 2nd fraction, since 14 × 36 = 504,
30/14 = 30 × 36/14 × 36 = 1080/504
Add the two like fractions:
294/504 + 1080/504 = 294 + 1080/504 = 1374/504
1374/504 simplified gives 229/84
So, 42/72 + 30/14 = 229/84
In mixed form: 261/84

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