Add 5/98 and 35/40
5/98 + 35/40 is 363/392.
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,
5/98 = 5 × 20/98 × 20 = 100/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
35/40 = 35 × 49/40 × 49 = 1715/1960 - Add the two like fractions:
100/1960 + 1715/1960 = 100 + 1715/1960 = 1815/1960 - 1815/1960 simplified gives 363/392
- So, 5/98 + 35/40 = 363/392
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