Add 27/42 and 49/45
1st number: 27/42, 2nd number: 1 4/45
27/42 + 49/45 is 1091/630.
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,
49/45 = 49 × 14/45 × 14 = 686/630 - Add the two like fractions:
405/630 + 686/630 = 405 + 686/630 = 1091/630 - So, 27/42 + 49/45 = 1091/630
In mixed form: 1461/630
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