Add 20/21 and 40/98
20/21 + 40/98 is 200/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 98 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 21 × 14 = 294,
20/21 = 20 × 14/21 × 14 = 280/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
40/98 = 40 × 3/98 × 3 = 120/294 - Add the two like fractions:
280/294 + 120/294 = 280 + 120/294 = 400/294 - 400/294 simplified gives 200/147
- So, 20/21 + 40/98 = 200/147
In mixed form: 153/147
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