Add 28/35 and 9/40
28/35 + 9/40 is 41/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
28/35 = 28 × 8/35 × 8 = 224/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
9/40 = 9 × 7/40 × 7 = 63/280 - Add the two like fractions:
224/280 + 63/280 = 224 + 63/280 = 287/280 - 287/280 simplified gives 41/40
- So, 28/35 + 9/40 = 41/40
In mixed form: 11/40
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