Add 21/15 and 40/35
1st number: 1 6/15, 2nd number: 1 5/35
21/15 + 40/35 is 89/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
21/15 = 21 × 7/15 × 7 = 147/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
40/35 = 40 × 3/35 × 3 = 120/105 - Add the two like fractions:
147/105 + 120/105 = 147 + 120/105 = 267/105 - 267/105 simplified gives 89/35
- So, 21/15 + 40/35 = 89/35
In mixed form: 219/35
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