Add 36/90 and 75/96
36/90 + 75/96 is 189/160.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 96 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 90 × 16 = 1440,
36/90 = 36 × 16/90 × 16 = 576/1440 - Likewise, for the 2nd fraction, since 96 × 15 = 1440,
75/96 = 75 × 15/96 × 15 = 1125/1440 - Add the two like fractions:
576/1440 + 1125/1440 = 576 + 1125/1440 = 1701/1440 - 1701/1440 simplified gives 189/160
- So, 36/90 + 75/96 = 189/160
In mixed form: 129/160
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