Add 7/42 and 24/27
7/42 + 24/27 is 19/18.
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,
7/42 = 7 × 9/42 × 9 = 63/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
24/27 = 24 × 14/27 × 14 = 336/378 - Add the two like fractions:
63/378 + 336/378 = 63 + 336/378 = 399/378 - 399/378 simplified gives 19/18
- So, 7/42 + 24/27 = 19/18
In mixed form: 11/18
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