Add 24/27 and 9/35
24/27 + 9/35 is 361/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 35 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 27 × 35 = 945,
24/27 = 24 × 35/27 × 35 = 840/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
9/35 = 9 × 27/35 × 27 = 243/945 - Add the two like fractions:
840/945 + 243/945 = 840 + 243/945 = 1083/945 - 1083/945 simplified gives 361/315
- So, 24/27 + 9/35 = 361/315
In mixed form: 146/315
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