Add 10/15 and 63/49, Solve 10/15 + 1 14/49 as a fraction

Add 10/15 and 63/49

1^st number: 10/15, 2^nd number: 1 14/49

10/15 + 63/49 is 41/21.

Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735

Next, find the equivalent fraction of both fractional numbers with denominator 735
For the 1st fraction, since 15 × 49 = 735,
10/15 = 10 × 49/15 × 49 = 490/735
Likewise, for the 2nd fraction, since 49 × 15 = 735,
63/49 = 63 × 15/49 × 15 = 945/735
Add the two like fractions:
490/735 + 945/735 = 490 + 945/735 = 1435/735
1435/735 simplified gives 41/21
So, 10/15 + 63/49 = 41/21
In mixed form: 120/21

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