Add 75/8 and 12/27
1st number: 9 3/8, 2nd number: 12/27
75/8 + 12/27 is 707/72.
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,
12/27 = 12 × 8/27 × 8 = 96/216 - Add the two like fractions:
2025/216 + 96/216 = 2025 + 96/216 = 2121/216 - 2121/216 simplified gives 707/72
- So, 75/8 + 12/27 = 707/72
In mixed form: 959/72
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