Add 35/21 and 45/24
1st number: 1 14/21, 2nd number: 1 21/24
35/21 + 45/24 is 85/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 21 × 8 = 168,
35/21 = 35 × 8/21 × 8 = 280/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
45/24 = 45 × 7/24 × 7 = 315/168 - Add the two like fractions:
280/168 + 315/168 = 280 + 315/168 = 595/168 - 595/168 simplified gives 85/24
- So, 35/21 + 45/24 = 85/24
In mixed form: 313/24
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