Add 18/98 and 35/40
18/98 + 35/40 is 415/392.
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,
18/98 = 18 × 20/98 × 20 = 360/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
35/40 = 35 × 49/40 × 49 = 1715/1960 - Add the two like fractions:
360/1960 + 1715/1960 = 360 + 1715/1960 = 2075/1960 - 2075/1960 simplified gives 415/392
- So, 18/98 + 35/40 = 415/392
In mixed form: 123/392
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