Add 40/9 and 30/64
1st number: 4 4/9, 2nd number: 30/64
40/9 + 30/64 is 1415/288.
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,
40/9 = 40 × 64/9 × 64 = 2560/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
30/64 = 30 × 9/64 × 9 = 270/576 - Add the two like fractions:
2560/576 + 270/576 = 2560 + 270/576 = 2830/576 - 2830/576 simplified gives 1415/288
- So, 40/9 + 30/64 = 1415/288
In mixed form: 4263/288
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