Add 40/15 and 49/84
1st number: 2 10/15, 2nd number: 49/84
40/15 + 49/84 is 13/4.
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,
40/15 = 40 × 28/15 × 28 = 1120/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
49/84 = 49 × 5/84 × 5 = 245/420 - Add the two like fractions:
1120/420 + 245/420 = 1120 + 245/420 = 1365/420 - 1365/420 simplified gives 13/4
- So, 40/15 + 49/84 = 13/4
In mixed form: 31/4
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