Add 27/8 and 40/75
1st number: 3 3/8, 2nd number: 40/75
27/8 + 40/75 is 469/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 8 × 75 = 600,
27/8 = 27 × 75/8 × 75 = 2025/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Add the two like fractions:
2025/600 + 320/600 = 2025 + 320/600 = 2345/600 - 2345/600 simplified gives 469/120
- So, 27/8 + 40/75 = 469/120
In mixed form: 3109/120
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