Add 75/42 and 20/45
1st number: 1 33/42, 2nd number: 20/45
75/42 + 20/45 is 281/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
75/42 = 75 × 15/42 × 15 = 1125/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
20/45 = 20 × 14/45 × 14 = 280/630 - Add the two like fractions:
1125/630 + 280/630 = 1125 + 280/630 = 1405/630 - 1405/630 simplified gives 281/126
- So, 75/42 + 20/45 = 281/126
In mixed form: 229/126
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