Add 40/27 and 12/64
1st number: 1 13/27, 2nd number: 12/64
40/27 + 12/64 is 721/432.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 64 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 27 × 64 = 1728,
40/27 = 40 × 64/27 × 64 = 2560/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
12/64 = 12 × 27/64 × 27 = 324/1728 - Add the two like fractions:
2560/1728 + 324/1728 = 2560 + 324/1728 = 2884/1728 - 2884/1728 simplified gives 721/432
- So, 40/27 + 12/64 = 721/432
In mixed form: 1289/432
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