Add 8/30 and 40/49
8/30 + 40/49 is 796/735.
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,
8/30 = 8 × 49/30 × 49 = 392/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
40/49 = 40 × 30/49 × 30 = 1200/1470 - Add the two like fractions:
392/1470 + 1200/1470 = 392 + 1200/1470 = 1592/1470 - 1592/1470 simplified gives 796/735
- So, 8/30 + 40/49 = 796/735
In mixed form: 161/735
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