Add 14/35 and 35/40
14/35 + 35/40 is 51/40.
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,
14/35 = 14 × 8/35 × 8 = 112/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
35/40 = 35 × 7/40 × 7 = 245/280 - Add the two like fractions:
112/280 + 245/280 = 112 + 245/280 = 357/280 - 357/280 simplified gives 51/40
- So, 14/35 + 35/40 = 51/40
In mixed form: 111/40
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