Add 45/98 and 20/40
45/98 + 20/40 is 47/49.
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,
45/98 = 45 × 20/98 × 20 = 900/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
20/40 = 20 × 49/40 × 49 = 980/1960 - Add the two like fractions:
900/1960 + 980/1960 = 900 + 980/1960 = 1880/1960 - 1880/1960 simplified gives 47/49
- So, 45/98 + 20/40 = 47/49
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