Add 30/32 and 45/8
1st number: 30/32, 2nd number: 5 5/8
30/32 + 45/8 is 105/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 8 is 32
Next, find the equivalent fraction of both fractional numbers with denominator 32 - For the 1st fraction, since 32 × 1 = 32,
30/32 = 30 × 1/32 × 1 = 30/32 - Likewise, for the 2nd fraction, since 8 × 4 = 32,
45/8 = 45 × 4/8 × 4 = 180/32 - Add the two like fractions:
30/32 + 180/32 = 30 + 180/32 = 210/32 - 210/32 simplified gives 105/16
- So, 30/32 + 45/8 = 105/16
In mixed form: 69/16
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