Add 75/32 and 35/28
1st number: 2 11/32, 2nd number: 1 7/28
75/32 + 35/28 is 115/32.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 28 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
75/32 = 75 × 7/32 × 7 = 525/224 - Likewise, for the 2nd fraction, since 28 × 8 = 224,
35/28 = 35 × 8/28 × 8 = 280/224 - Add the two like fractions:
525/224 + 280/224 = 525 + 280/224 = 805/224 - 805/224 simplified gives 115/32
- So, 75/32 + 35/28 = 115/32
In mixed form: 319/32
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