Add 27/28 and 28/40
27/28 + 28/40 is 233/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 28 × 10 = 280,
27/28 = 27 × 10/28 × 10 = 270/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
28/40 = 28 × 7/40 × 7 = 196/280 - Add the two like fractions:
270/280 + 196/280 = 270 + 196/280 = 466/280 - 466/280 simplified gives 233/140
- So, 27/28 + 28/40 = 233/140
In mixed form: 193/140
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