Add 10/75 and 81/64
1st number: 10/75, 2nd number: 1 17/64
10/75 + 81/64 is 1343/960.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 64 is 4800
Next, find the equivalent fraction of both fractional numbers with denominator 4800 - For the 1st fraction, since 75 × 64 = 4800,
10/75 = 10 × 64/75 × 64 = 640/4800 - Likewise, for the 2nd fraction, since 64 × 75 = 4800,
81/64 = 81 × 75/64 × 75 = 6075/4800 - Add the two like fractions:
640/4800 + 6075/4800 = 640 + 6075/4800 = 6715/4800 - 6715/4800 simplified gives 1343/960
- So, 10/75 + 81/64 = 1343/960
In mixed form: 1383/960
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