Add 10/5 and 27/21
1st number: 2 0/5, 2nd number: 1 6/21
10/5 + 27/21 is 23/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 5 × 21 = 105,
10/5 = 10 × 21/5 × 21 = 210/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
27/21 = 27 × 5/21 × 5 = 135/105 - Add the two like fractions:
210/105 + 135/105 = 210 + 135/105 = 345/105 - 345/105 simplified gives 23/7
- So, 10/5 + 27/21 = 23/7
In mixed form: 32/7
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