Add 45/84 and 27/10
1st number: 45/84, 2nd number: 2 7/10
45/84 + 27/10 is 453/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 10 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Likewise, for the 2nd fraction, since 10 × 42 = 420,
27/10 = 27 × 42/10 × 42 = 1134/420 - Add the two like fractions:
225/420 + 1134/420 = 225 + 1134/420 = 1359/420 - 1359/420 simplified gives 453/140
- So, 45/84 + 27/10 = 453/140
In mixed form: 333/140
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