Add 24/27 and 45/42
1st number: 24/27, 2nd number: 1 3/42
24/27 + 45/42 is 247/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
24/27 = 24 × 14/27 × 14 = 336/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
45/42 = 45 × 9/42 × 9 = 405/378 - Add the two like fractions:
336/378 + 405/378 = 336 + 405/378 = 741/378 - 741/378 simplified gives 247/126
- So, 24/27 + 45/42 = 247/126
In mixed form: 1121/126
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