Add 75/8 and 9/27
1st number: 9 3/8, 2nd number: 9/27
75/8 + 9/27 is 233/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
75/8 = 75 × 27/8 × 27 = 2025/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
9/27 = 9 × 8/27 × 8 = 72/216 - Add the two like fractions:
2025/216 + 72/216 = 2025 + 72/216 = 2097/216 - 2097/216 simplified gives 233/24
- So, 75/8 + 9/27 = 233/24
In mixed form: 917/24
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