Add 27/42 and 35/45
27/42 + 35/45 is 179/126.
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,
27/42 = 27 × 15/42 × 15 = 405/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
35/45 = 35 × 14/45 × 14 = 490/630 - Add the two like fractions:
405/630 + 490/630 = 405 + 490/630 = 895/630 - 895/630 simplified gives 179/126
- So, 27/42 + 35/45 = 179/126
In mixed form: 153/126
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