Add 40/90 and 21/64
40/90 + 21/64 is 445/576.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 64 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 90 × 32 = 2880,
40/90 = 40 × 32/90 × 32 = 1280/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
21/64 = 21 × 45/64 × 45 = 945/2880 - Add the two like fractions:
1280/2880 + 945/2880 = 1280 + 945/2880 = 2225/2880 - 2225/2880 simplified gives 445/576
- So, 40/90 + 21/64 = 445/576
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