Add 45/42 and 75/27
1st number: 1 3/42, 2nd number: 2 21/27
45/42 + 75/27 is 485/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
45/42 = 45 × 9/42 × 9 = 405/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
75/27 = 75 × 14/27 × 14 = 1050/378 - Add the two like fractions:
405/378 + 1050/378 = 405 + 1050/378 = 1455/378 - 1455/378 simplified gives 485/126
- So, 45/42 + 75/27 = 485/126
In mixed form: 3107/126
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