Add 5/30 and 40/49
5/30 + 40/49 is 289/294.
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,
5/30 = 5 × 49/30 × 49 = 245/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
40/49 = 40 × 30/49 × 30 = 1200/1470 - Add the two like fractions:
245/1470 + 1200/1470 = 245 + 1200/1470 = 1445/1470 - 1445/1470 simplified gives 289/294
- So, 5/30 + 40/49 = 289/294
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