Add 45/27 and 42/49
1st number: 1 18/27, 2nd number: 42/49
45/27 + 42/49 is 53/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
45/27 = 45 × 49/27 × 49 = 2205/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Add the two like fractions:
2205/1323 + 1134/1323 = 2205 + 1134/1323 = 3339/1323 - 3339/1323 simplified gives 53/21
- So, 45/27 + 42/49 = 53/21
In mixed form: 211/21
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