Add 10/5 and 9/21
1st number: 2 0/5, 2nd number: 9/21
10/5 + 9/21 is 17/7.
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,
9/21 = 9 × 5/21 × 5 = 45/105 - Add the two like fractions:
210/105 + 45/105 = 210 + 45/105 = 255/105 - 255/105 simplified gives 17/7
- So, 10/5 + 9/21 = 17/7
In mixed form: 23/7
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