Add 9/4 and 21/35
1st number: 2 1/4, 2nd number: 21/35
9/4 + 21/35 is 57/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 4 × 35 = 140,
9/4 = 9 × 35/4 × 35 = 315/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
21/35 = 21 × 4/35 × 4 = 84/140 - Add the two like fractions:
315/140 + 84/140 = 315 + 84/140 = 399/140 - 399/140 simplified gives 57/20
- So, 9/4 + 21/35 = 57/20
In mixed form: 217/20
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