Add 75/8 and 8/21
1st number: 9 3/8, 2nd number: 8/21
75/8 + 8/21 is 1639/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
75/8 = 75 × 21/8 × 21 = 1575/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
8/21 = 8 × 8/21 × 8 = 64/168 - Add the two like fractions:
1575/168 + 64/168 = 1575 + 64/168 = 1639/168 - So, 75/8 + 8/21 = 1639/168
In mixed form: 9127/168
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