Add 84/35 and 98/21
1st number: 2 14/35, 2nd number: 4 14/21
84/35 + 98/21 is 106/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 35 × 3 = 105,
84/35 = 84 × 3/35 × 3 = 252/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
98/21 = 98 × 5/21 × 5 = 490/105 - Add the two like fractions:
252/105 + 490/105 = 252 + 490/105 = 742/105 - 742/105 simplified gives 106/15
- So, 84/35 + 98/21 = 106/15
In mixed form: 71/15
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