Add 36/27 and 75/42
1st number: 1 9/27, 2nd number: 1 33/42
36/27 + 75/42 is 131/42.
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,
36/27 = 36 × 14/27 × 14 = 504/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
75/42 = 75 × 9/42 × 9 = 675/378 - Add the two like fractions:
504/378 + 675/378 = 504 + 675/378 = 1179/378 - 1179/378 simplified gives 131/42
- So, 36/27 + 75/42 = 131/42
In mixed form: 35/42
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