Add 9/40 and 14/35
9/40 + 14/35 is 5/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 35 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
9/40 = 9 × 7/40 × 7 = 63/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
14/35 = 14 × 8/35 × 8 = 112/280 - Add the two like fractions:
63/280 + 112/280 = 63 + 112/280 = 175/280 - 175/280 simplified gives 5/8
- So, 9/40 + 14/35 = 5/8
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