Add 10/40 and 30/14, Solve 10/40 + 2 2/14 as a fraction

Add 10/40 and 30/14

1^st number: 10/40, 2^nd number: 2 2/14

10/40 + 30/14 is 67/28.

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

Next, find the equivalent fraction of both fractional numbers with denominator 280
For the 1st fraction, since 40 × 7 = 280,
10/40 = 10 × 7/40 × 7 = 70/280
Likewise, for the 2nd fraction, since 14 × 20 = 280,
30/14 = 30 × 20/14 × 20 = 600/280
Add the two like fractions:
70/280 + 600/280 = 70 + 600/280 = 670/280
670/280 simplified gives 67/28
So, 10/40 + 30/14 = 67/28
In mixed form: 211/28

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