Add 27/32 and 20/75
27/32 + 20/75 is 533/480.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 75 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 32 × 75 = 2400,
27/32 = 27 × 75/32 × 75 = 2025/2400 - Likewise, for the 2nd fraction, since 75 × 32 = 2400,
20/75 = 20 × 32/75 × 32 = 640/2400 - Add the two like fractions:
2025/2400 + 640/2400 = 2025 + 640/2400 = 2665/2400 - 2665/2400 simplified gives 533/480
- So, 27/32 + 20/75 = 533/480
In mixed form: 153/480
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