Add 40/98 and 45/12
1st number: 40/98, 2nd number: 3 9/12
40/98 + 45/12 is 815/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 12 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 98 × 6 = 588,
40/98 = 40 × 6/98 × 6 = 240/588 - Likewise, for the 2nd fraction, since 12 × 49 = 588,
45/12 = 45 × 49/12 × 49 = 2205/588 - Add the two like fractions:
240/588 + 2205/588 = 240 + 2205/588 = 2445/588 - 2445/588 simplified gives 815/196
- So, 40/98 + 45/12 = 815/196
In mixed form: 431/196
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