Add 30/98 and 10/40
30/98 + 10/40 is 109/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 98 × 20 = 1960,
30/98 = 30 × 20/98 × 20 = 600/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
10/40 = 10 × 49/40 × 49 = 490/1960 - Add the two like fractions:
600/1960 + 490/1960 = 600 + 490/1960 = 1090/1960 - 1090/1960 simplified gives 109/196
- So, 30/98 + 10/40 = 109/196
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