Add 40/90 and 75/64
1st number: 40/90, 2nd number: 1 11/64
40/90 + 75/64 is 931/576.
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,
75/64 = 75 × 45/64 × 45 = 3375/2880 - Add the two like fractions:
1280/2880 + 3375/2880 = 1280 + 3375/2880 = 4655/2880 - 4655/2880 simplified gives 931/576
- So, 40/90 + 75/64 = 931/576
In mixed form: 1355/576
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