Add 8/15 and 72/84
8/15 + 72/84 is 146/105.
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,
8/15 = 8 × 28/15 × 28 = 224/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
72/84 = 72 × 5/84 × 5 = 360/420 - Add the two like fractions:
224/420 + 360/420 = 224 + 360/420 = 584/420 - 584/420 simplified gives 146/105
- So, 8/15 + 72/84 = 146/105
In mixed form: 141/105
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