Add 84/21 and 9/35
1st number: 4 0/21, 2nd number: 9/35
84/21 + 9/35 is 149/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
84/21 = 84 × 5/21 × 5 = 420/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
9/35 = 9 × 3/35 × 3 = 27/105 - Add the two like fractions:
420/105 + 27/105 = 420 + 27/105 = 447/105 - 447/105 simplified gives 149/35
- So, 84/21 + 9/35 = 149/35
In mixed form: 49/35
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