Add 30/70 and 40/49
30/70 + 40/49 is 61/49.
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,
30/70 = 30 × 7/70 × 7 = 210/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
40/49 = 40 × 10/49 × 10 = 400/490 - Add the two like fractions:
210/490 + 400/490 = 210 + 400/490 = 610/490 - 610/490 simplified gives 61/49
- So, 30/70 + 40/49 = 61/49
In mixed form: 112/49
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