Add 10/15 and 40/21
1st number: 10/15, 2nd number: 1 19/21
10/15 + 40/21 is 18/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
10/15 = 10 × 7/15 × 7 = 70/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
40/21 = 40 × 5/21 × 5 = 200/105 - Add the two like fractions:
70/105 + 200/105 = 70 + 200/105 = 270/105 - 270/105 simplified gives 18/7
- So, 10/15 + 40/21 = 18/7
In mixed form: 24/7
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