Add 21/49 and 84/40, Solve 21/49 + 2 4/40 as a fraction

Add 21/49 and 84/40

1^st number: 21/49, 2^nd number: 2 4/40

21/49 + 84/40 is 177/70.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960

Next, find the equivalent fraction of both fractional numbers with denominator 1960
For the 1st fraction, since 49 × 40 = 1960,
21/49 = 21 × 40/49 × 40 = 840/1960
Likewise, for the 2nd fraction, since 40 × 49 = 1960,
84/40 = 84 × 49/40 × 49 = 4116/1960
Add the two like fractions:
840/1960 + 4116/1960 = 840 + 4116/1960 = 4956/1960
4956/1960 simplified gives 177/70
So, 21/49 + 84/40 = 177/70
In mixed form: 237/70

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