Add 30/42 and 3/27
30/42 + 3/27 is 52/63.
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,
3/27 = 3 × 14/27 × 14 = 42/378 - Add the two like fractions:
270/378 + 42/378 = 270 + 42/378 = 312/378 - 312/378 simplified gives 52/63
- So, 30/42 + 3/27 = 52/63
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