Add 24/27 and 21/96
24/27 + 21/96 is 319/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 96 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 27 × 32 = 864,
24/27 = 24 × 32/27 × 32 = 768/864 - Likewise, for the 2nd fraction, since 96 × 9 = 864,
21/96 = 21 × 9/96 × 9 = 189/864 - Add the two like fractions:
768/864 + 189/864 = 768 + 189/864 = 957/864 - 957/864 simplified gives 319/288
- So, 24/27 + 21/96 = 319/288
In mixed form: 131/288
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