Add 30/70 and 9/49
30/70 + 9/49 is 30/49.
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,
9/49 = 9 × 10/49 × 10 = 90/490 - Add the two like fractions:
210/490 + 90/490 = 210 + 90/490 = 300/490 - 300/490 simplified gives 30/49
- So, 30/70 + 9/49 = 30/49
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