Add 21/49 and 40/30, Solve 21/49 + 1 10/30 as a fraction

Add 21/49 and 40/30

1^st number: 21/49, 2^nd number: 1 10/30

21/49 + 40/30 is 37/21.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470

Next, find the equivalent fraction of both fractional numbers with denominator 1470
For the 1st fraction, since 49 × 30 = 1470,
21/49 = 21 × 30/49 × 30 = 630/1470
Likewise, for the 2nd fraction, since 30 × 49 = 1470,
40/30 = 40 × 49/30 × 49 = 1960/1470
Add the two like fractions:
630/1470 + 1960/1470 = 630 + 1960/1470 = 2590/1470
2590/1470 simplified gives 37/21
So, 21/49 + 40/30 = 37/21
In mixed form: 116/21

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