Add 40/45 and 36/64
40/45 + 36/64 is 209/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 64 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 45 × 64 = 2880,
40/45 = 40 × 64/45 × 64 = 2560/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
36/64 = 36 × 45/64 × 45 = 1620/2880 - Add the two like fractions:
2560/2880 + 1620/2880 = 2560 + 1620/2880 = 4180/2880 - 4180/2880 simplified gives 209/144
- So, 40/45 + 36/64 = 209/144
In mixed form: 165/144
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