Add 7/49 and 72/50, Solve 7/49 + 1 22/50 as a fraction

Add 7/49 and 72/50

1^st number: 7/49, 2^nd number: 1 22/50

7/49 + 72/50 is 277/175.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 50 is 2450

Next, find the equivalent fraction of both fractional numbers with denominator 2450
For the 1st fraction, since 49 × 50 = 2450,
7/49 = 7 × 50/49 × 50 = 350/2450
Likewise, for the 2nd fraction, since 50 × 49 = 2450,
72/50 = 72 × 49/50 × 49 = 3528/2450
Add the two like fractions:
350/2450 + 3528/2450 = 350 + 3528/2450 = 3878/2450
3878/2450 simplified gives 277/175
So, 7/49 + 72/50 = 277/175
In mixed form: 1102/175

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