Add 10/21 and 63/49, Solve 10/21 + 1 14/49 as a fraction

Add 10/21 and 63/49

1^st number: 10/21, 2^nd number: 1 14/49

10/21 + 63/49 is 37/21.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147

Next, find the equivalent fraction of both fractional numbers with denominator 147
For the 1st fraction, since 21 × 7 = 147,
10/21 = 10 × 7/21 × 7 = 70/147
Likewise, for the 2nd fraction, since 49 × 3 = 147,
63/49 = 63 × 3/49 × 3 = 189/147
Add the two like fractions:
70/147 + 189/147 = 70 + 189/147 = 259/147
259/147 simplified gives 37/21
So, 10/21 + 63/49 = 37/21
In mixed form: 116/21

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