Add 75/40 and 8/27
1st number: 1 35/40, 2nd number: 8/27
75/40 + 8/27 is 469/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
75/40 = 75 × 27/40 × 27 = 2025/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
8/27 = 8 × 40/27 × 40 = 320/1080 - Add the two like fractions:
2025/1080 + 320/1080 = 2025 + 320/1080 = 2345/1080 - 2345/1080 simplified gives 469/216
- So, 75/40 + 8/27 = 469/216
In mixed form: 237/216
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