Add 30/14 and 40/49
1st number: 2 2/14, 2nd number: 40/49
30/14 + 40/49 is 145/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 14 × 7 = 98,
30/14 = 30 × 7/14 × 7 = 210/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
40/49 = 40 × 2/49 × 2 = 80/98 - Add the two like fractions:
210/98 + 80/98 = 210 + 80/98 = 290/98 - 290/98 simplified gives 145/49
- So, 30/14 + 40/49 = 145/49
In mixed form: 247/49
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