Add 21/8 and 75/32
1st number: 2 5/8, 2nd number: 2 11/32
21/8 + 75/32 is 159/32.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 32 is 32
Next, find the equivalent fraction of both fractional numbers with denominator 32 - For the 1st fraction, since 8 × 4 = 32,
21/8 = 21 × 4/8 × 4 = 84/32 - Likewise, for the 2nd fraction, since 32 × 1 = 32,
75/32 = 75 × 1/32 × 1 = 75/32 - Add the two like fractions:
84/32 + 75/32 = 84 + 75/32 = 159/32 - So, 21/8 + 75/32 = 159/32
In mixed form: 431/32
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