Add 14/75 and 98/49
1st number: 14/75, 2nd number: 2 0/49
14/75 + 98/49 is 164/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675
Next, find the equivalent fraction of both fractional numbers with denominator 3675 - For the 1st fraction, since 75 × 49 = 3675,
14/75 = 14 × 49/75 × 49 = 686/3675 - Likewise, for the 2nd fraction, since 49 × 75 = 3675,
98/49 = 98 × 75/49 × 75 = 7350/3675 - Add the two like fractions:
686/3675 + 7350/3675 = 686 + 7350/3675 = 8036/3675 - 8036/3675 simplified gives 164/75
- So, 14/75 + 98/49 = 164/75
In mixed form: 214/75
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