Add 30/98 and 35/40
30/98 + 35/40 is 463/392.
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,
35/40 = 35 × 49/40 × 49 = 1715/1960 - Add the two like fractions:
600/1960 + 1715/1960 = 600 + 1715/1960 = 2315/1960 - 2315/1960 simplified gives 463/392
- So, 30/98 + 35/40 = 463/392
In mixed form: 171/392
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