Add 10/15 and 45/84
10/15 + 45/84 is 101/84.
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,
10/15 = 10 × 28/15 × 28 = 280/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Add the two like fractions:
280/420 + 225/420 = 280 + 225/420 = 505/420 - 505/420 simplified gives 101/84
- So, 10/15 + 45/84 = 101/84
In mixed form: 117/84
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