Add 3/75 and 9/64
3/75 + 9/64 is 289/1600.
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,
3/75 = 3 × 64/75 × 64 = 192/4800 - Likewise, for the 2nd fraction, since 64 × 75 = 4800,
9/64 = 9 × 75/64 × 75 = 675/4800 - Add the two like fractions:
192/4800 + 675/4800 = 192 + 675/4800 = 867/4800 - 867/4800 simplified gives 289/1600
- So, 3/75 + 9/64 = 289/1600
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