Add 3/5 and 45/84
3/5 + 45/84 is 159/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
3/5 = 3 × 84/5 × 84 = 252/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Add the two like fractions:
252/420 + 225/420 = 252 + 225/420 = 477/420 - 477/420 simplified gives 159/140
- So, 3/5 + 45/84 = 159/140
In mixed form: 119/140
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