Add 9/15 and 40/84
9/15 + 40/84 is 113/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 15 × 28 = 420,
9/15 = 9 × 28/15 × 28 = 252/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Add the two like fractions:
252/420 + 200/420 = 252 + 200/420 = 452/420 - 452/420 simplified gives 113/105
- So, 9/15 + 40/84 = 113/105
In mixed form: 18/105
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