Add 24/30 and 64/84
24/30 + 64/84 is 164/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
24/30 = 24 × 14/30 × 14 = 336/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
64/84 = 64 × 5/84 × 5 = 320/420 - Add the two like fractions:
336/420 + 320/420 = 336 + 320/420 = 656/420 - 656/420 simplified gives 164/105
- So, 24/30 + 64/84 = 164/105
In mixed form: 159/105
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