Add 45/50 and 5/42
45/50 + 5/42 is 107/105.
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,
45/50 = 45 × 21/50 × 21 = 945/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
5/42 = 5 × 25/42 × 25 = 125/1050 - Add the two like fractions:
945/1050 + 125/1050 = 945 + 125/1050 = 1070/1050 - 1070/1050 simplified gives 107/105
- So, 45/50 + 5/42 = 107/105
In mixed form: 12/105
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