Add 2/9 and 30/64
2/9 + 30/64 is 199/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 64 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 9 × 64 = 576,
2/9 = 2 × 64/9 × 64 = 128/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
30/64 = 30 × 9/64 × 9 = 270/576 - Add the two like fractions:
128/576 + 270/576 = 128 + 270/576 = 398/576 - 398/576 simplified gives 199/288
- So, 2/9 + 30/64 = 199/288
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