Add 42/40 and 28/98
1st number: 1 2/40, 2nd number: 28/98
42/40 + 28/98 is 187/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 98 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
42/40 = 42 × 49/40 × 49 = 2058/1960 - Likewise, for the 2nd fraction, since 98 × 20 = 1960,
28/98 = 28 × 20/98 × 20 = 560/1960 - Add the two like fractions:
2058/1960 + 560/1960 = 2058 + 560/1960 = 2618/1960 - 2618/1960 simplified gives 187/140
- So, 42/40 + 28/98 = 187/140
In mixed form: 147/140
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