Add 10/30 and 42/49
10/30 + 42/49 is 25/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
10/30 = 10 × 49/30 × 49 = 490/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
42/49 = 42 × 30/49 × 30 = 1260/1470 - Add the two like fractions:
490/1470 + 1260/1470 = 490 + 1260/1470 = 1750/1470 - 1750/1470 simplified gives 25/21
- So, 10/30 + 42/49 = 25/21
In mixed form: 14/21
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