Add 75/8 and 21/27
1st number: 9 3/8, 2nd number: 21/27
75/8 + 21/27 is 731/72.
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,
21/27 = 21 × 8/27 × 8 = 168/216 - Add the two like fractions:
2025/216 + 168/216 = 2025 + 168/216 = 2193/216 - 2193/216 simplified gives 731/72
- So, 75/8 + 21/27 = 731/72
In mixed form: 1011/72
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