Add 10/40 and 12/35
10/40 + 12/35 is 83/140.
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,
10/40 = 10 × 7/40 × 7 = 70/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
12/35 = 12 × 8/35 × 8 = 96/280 - Add the two like fractions:
70/280 + 96/280 = 70 + 96/280 = 166/280 - 166/280 simplified gives 83/140
- So, 10/40 + 12/35 = 83/140
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