Add 30/12 and 75/32
1st number: 2 6/12, 2nd number: 2 11/32
30/12 + 75/32 is 155/32.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 32 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 12 × 8 = 96,
30/12 = 30 × 8/12 × 8 = 240/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
75/32 = 75 × 3/32 × 3 = 225/96 - Add the two like fractions:
240/96 + 225/96 = 240 + 225/96 = 465/96 - 465/96 simplified gives 155/32
- So, 30/12 + 75/32 = 155/32
In mixed form: 427/32
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