Add 20/75 and 30/32
20/75 + 30/32 is 289/240.
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,
20/75 = 20 × 32/75 × 32 = 640/2400 - Likewise, for the 2nd fraction, since 32 × 75 = 2400,
30/32 = 30 × 75/32 × 75 = 2250/2400 - Add the two like fractions:
640/2400 + 2250/2400 = 640 + 2250/2400 = 2890/2400 - 2890/2400 simplified gives 289/240
- So, 20/75 + 30/32 = 289/240
In mixed form: 149/240
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