Add 75/27 and 63/42
1st number: 2 21/27, 2nd number: 1 21/42
75/27 + 63/42 is 77/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
75/27 = 75 × 14/27 × 14 = 1050/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
63/42 = 63 × 9/42 × 9 = 567/378 - Add the two like fractions:
1050/378 + 567/378 = 1050 + 567/378 = 1617/378 - 1617/378 simplified gives 77/18
- So, 75/27 + 63/42 = 77/18
In mixed form: 45/18
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