Add 30/75 and 27/32
30/75 + 27/32 is 199/160.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 32 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 75 × 32 = 2400,
30/75 = 30 × 32/75 × 32 = 960/2400 - Likewise, for the 2nd fraction, since 32 × 75 = 2400,
27/32 = 27 × 75/32 × 75 = 2025/2400 - Add the two like fractions:
960/2400 + 2025/2400 = 960 + 2025/2400 = 2985/2400 - 2985/2400 simplified gives 199/160
- So, 30/75 + 27/32 = 199/160
In mixed form: 139/160
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