Add 27/42 and 42/45
27/42 + 42/45 is 331/210.
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,
42/45 = 42 × 14/45 × 14 = 588/630 - Add the two like fractions:
405/630 + 588/630 = 405 + 588/630 = 993/630 - 993/630 simplified gives 331/210
- So, 27/42 + 42/45 = 331/210
In mixed form: 1121/210
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