Add 30/75 and 30/32
30/75 + 30/32 is 107/80.
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,
30/32 = 30 × 75/32 × 75 = 2250/2400 - Add the two like fractions:
960/2400 + 2250/2400 = 960 + 2250/2400 = 3210/2400 - 3210/2400 simplified gives 107/80
- So, 30/75 + 30/32 = 107/80
In mixed form: 127/80
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