Add 30/98 and 75/40
1st number: 30/98, 2nd number: 1 35/40
30/98 + 75/40 is 855/392.
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,
75/40 = 75 × 49/40 × 49 = 3675/1960 - Add the two like fractions:
600/1960 + 3675/1960 = 600 + 3675/1960 = 4275/1960 - 4275/1960 simplified gives 855/392
- So, 30/98 + 75/40 = 855/392
In mixed form: 271/392
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