Add 10/49 and 40/70
10/49 + 40/70 is 38/49.
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,
10/49 = 10 × 10/49 × 10 = 100/490 - Likewise, for the 2nd fraction, since 70 × 7 = 490,
40/70 = 40 × 7/70 × 7 = 280/490 - Add the two like fractions:
100/490 + 280/490 = 100 + 280/490 = 380/490 - 380/490 simplified gives 38/49
- So, 10/49 + 40/70 = 38/49
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