Add 30/42 and 7/27
30/42 + 7/27 is 184/189.
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,
30/42 = 30 × 9/42 × 9 = 270/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
7/27 = 7 × 14/27 × 14 = 98/378 - Add the two like fractions:
270/378 + 98/378 = 270 + 98/378 = 368/378 - 368/378 simplified gives 184/189
- So, 30/42 + 7/27 = 184/189
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