Add 24/45 and 45/21
1st number: 24/45, 2nd number: 2 3/21
24/45 + 45/21 is 281/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
24/45 = 24 × 7/45 × 7 = 168/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
45/21 = 45 × 15/21 × 15 = 675/315 - Add the two like fractions:
168/315 + 675/315 = 168 + 675/315 = 843/315 - 843/315 simplified gives 281/105
- So, 24/45 + 45/21 = 281/105
In mixed form: 271/105
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