Add 75/90 and 27/64
75/90 + 27/64 is 241/192.
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,
75/90 = 75 × 32/90 × 32 = 2400/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
27/64 = 27 × 45/64 × 45 = 1215/2880 - Add the two like fractions:
2400/2880 + 1215/2880 = 2400 + 1215/2880 = 3615/2880 - 3615/2880 simplified gives 241/192
- So, 75/90 + 27/64 = 241/192
In mixed form: 149/192
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