Add 49/21 and 27/40, Solve 2 7/21 + 27/40 as a fraction

Add 49/21 and 27/40

1^st number: 2 7/21, 2^nd number: 27/40

49/21 + 27/40 is 361/120.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840

Next, find the equivalent fraction of both fractional numbers with denominator 840
For the 1st fraction, since 21 × 40 = 840,
49/21 = 49 × 40/21 × 40 = 1960/840
Likewise, for the 2nd fraction, since 40 × 21 = 840,
27/40 = 27 × 21/40 × 21 = 567/840
Add the two like fractions:
1960/840 + 567/840 = 1960 + 567/840 = 2527/840
2527/840 simplified gives 361/120
So, 49/21 + 27/40 = 361/120
In mixed form: 31/120

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