Add 72/42 and 40/27
1st number: 1 30/42, 2nd number: 1 13/27
72/42 + 40/27 is 604/189.
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,
72/42 = 72 × 9/42 × 9 = 648/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
40/27 = 40 × 14/27 × 14 = 560/378 - Add the two like fractions:
648/378 + 560/378 = 648 + 560/378 = 1208/378 - 1208/378 simplified gives 604/189
- So, 72/42 + 40/27 = 604/189
In mixed form: 337/189
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