Add 40/49 and 60/70
40/49 + 60/70 is 82/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 70 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 49 × 10 = 490,
40/49 = 40 × 10/49 × 10 = 400/490 - Likewise, for the 2nd fraction, since 70 × 7 = 490,
60/70 = 60 × 7/70 × 7 = 420/490 - Add the two like fractions:
400/490 + 420/490 = 400 + 420/490 = 820/490 - 820/490 simplified gives 82/49
- So, 40/49 + 60/70 = 82/49
In mixed form: 133/49
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