Add 49/42 and 90/63, Solve 1 7/42 + 1 27/63 as a fraction

Add 49/42 and 90/63

1^st number: 1 7/42, 2^nd number: 1 27/63

49/42 + 90/63 is 109/42.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 63 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 42 × 3 = 126,
49/42 = 49 × 3/42 × 3 = 147/126
Likewise, for the 2nd fraction, since 63 × 2 = 126,
90/63 = 90 × 2/63 × 2 = 180/126
Add the two like fractions:
147/126 + 180/126 = 147 + 180/126 = 327/126
327/126 simplified gives 109/42
So, 49/42 + 90/63 = 109/42
In mixed form: 225/42

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