Add 30/14 and 49/40, Solve 2 2/14 + 1 9/40 as a fraction

Add 30/14 and 49/40

1^st number: 2 2/14, 2^nd number: 1 9/40

30/14 + 49/40 is 943/280.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280

Next, find the equivalent fraction of both fractional numbers with denominator 280
For the 1st fraction, since 14 × 20 = 280,
30/14 = 30 × 20/14 × 20 = 600/280
Likewise, for the 2nd fraction, since 40 × 7 = 280,
49/40 = 49 × 7/40 × 7 = 343/280
Add the two like fractions:
600/280 + 343/280 = 600 + 343/280 = 943/280
So, 30/14 + 49/40 = 943/280
In mixed form: 3103/280

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