Add 10/21 and 24/45
10/21 + 24/45 is 106/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
10/21 = 10 × 15/21 × 15 = 150/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
24/45 = 24 × 7/45 × 7 = 168/315 - Add the two like fractions:
150/315 + 168/315 = 150 + 168/315 = 318/315 - 318/315 simplified gives 106/105
- So, 10/21 + 24/45 = 106/105
In mixed form: 11/105
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