Add 27/45 and 20/42
27/45 + 20/42 is 113/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
27/45 = 27 × 14/45 × 14 = 378/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
20/42 = 20 × 15/42 × 15 = 300/630 - Add the two like fractions:
378/630 + 300/630 = 378 + 300/630 = 678/630 - 678/630 simplified gives 113/105
- So, 27/45 + 20/42 = 113/105
In mixed form: 18/105
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