Add 3/8 and 28/35
3/8 + 28/35 is 47/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 35 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 8 × 35 = 280,
3/8 = 3 × 35/8 × 35 = 105/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
28/35 = 28 × 8/35 × 8 = 224/280 - Add the two like fractions:
105/280 + 224/280 = 105 + 224/280 = 329/280 - 329/280 simplified gives 47/40
- So, 3/8 + 28/35 = 47/40
In mixed form: 17/40
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