Add 40/70 and 3/49
40/70 + 3/49 is 31/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 49 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 70 × 7 = 490,
40/70 = 40 × 7/70 × 7 = 280/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
3/49 = 3 × 10/49 × 10 = 30/490 - Add the two like fractions:
280/490 + 30/490 = 280 + 30/490 = 310/490 - 310/490 simplified gives 31/49
- So, 40/70 + 3/49 = 31/49
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