Add 54/75 and 30/32
54/75 + 30/32 is 663/400.
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,
54/75 = 54 × 32/75 × 32 = 1728/2400 - Likewise, for the 2nd fraction, since 32 × 75 = 2400,
30/32 = 30 × 75/32 × 75 = 2250/2400 - Add the two like fractions:
1728/2400 + 2250/2400 = 1728 + 2250/2400 = 3978/2400 - 3978/2400 simplified gives 663/400
- So, 54/75 + 30/32 = 663/400
In mixed form: 1263/400
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