Add 40/98 and 98/21
1st number: 40/98, 2nd number: 4 14/21
40/98 + 98/21 is 746/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 21 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
40/98 = 40 × 3/98 × 3 = 120/294 - Likewise, for the 2nd fraction, since 21 × 14 = 294,
98/21 = 98 × 14/21 × 14 = 1372/294 - Add the two like fractions:
120/294 + 1372/294 = 120 + 1372/294 = 1492/294 - 1492/294 simplified gives 746/147
- So, 40/98 + 98/21 = 746/147
In mixed form: 511/147
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