Add 5/14 and 28/40
5/14 + 28/40 is 37/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
5/14 = 5 × 20/14 × 20 = 100/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
28/40 = 28 × 7/40 × 7 = 196/280 - Add the two like fractions:
100/280 + 196/280 = 100 + 196/280 = 296/280 - 296/280 simplified gives 37/35
- So, 5/14 + 28/40 = 37/35
In mixed form: 12/35
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