Add 40/21 and 4/15
1st number: 1 19/21, 2nd number: 4/15
40/21 + 4/15 is 76/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 15 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
40/21 = 40 × 5/21 × 5 = 200/105 - Likewise, for the 2nd fraction, since 15 × 7 = 105,
4/15 = 4 × 7/15 × 7 = 28/105 - Add the two like fractions:
200/105 + 28/105 = 200 + 28/105 = 228/105 - 228/105 simplified gives 76/35
- So, 40/21 + 4/15 = 76/35
In mixed form: 26/35
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