Add 28/35 and 49/56
28/35 + 49/56 is 67/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 56 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 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Add the two like fractions:
224/280 + 245/280 = 224 + 245/280 = 469/280 - 469/280 simplified gives 67/40
- So, 28/35 + 49/56 = 67/40
In mixed form: 127/40
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