Add 45/21 and 40/15
1st number: 2 3/21, 2nd number: 2 10/15
45/21 + 40/15 is 101/21.
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,
45/21 = 45 × 5/21 × 5 = 225/105 - Likewise, for the 2nd fraction, since 15 × 7 = 105,
40/15 = 40 × 7/15 × 7 = 280/105 - Add the two like fractions:
225/105 + 280/105 = 225 + 280/105 = 505/105 - 505/105 simplified gives 101/21
- So, 45/21 + 40/15 = 101/21
In mixed form: 417/21
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