Add 27/50 and 45/42
1st number: 27/50, 2nd number: 1 3/42
27/50 + 45/42 is 282/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 50 × 21 = 1050,
27/50 = 27 × 21/50 × 21 = 567/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
45/42 = 45 × 25/42 × 25 = 1125/1050 - Add the two like fractions:
567/1050 + 1125/1050 = 567 + 1125/1050 = 1692/1050 - 1692/1050 simplified gives 282/175
- So, 27/50 + 45/42 = 282/175
In mixed form: 1107/175
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