Add 7/35 and 35/81
7/35 + 35/81 is 256/405.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 81 is 2835
Next, find the equivalent fraction of both fractional numbers with denominator 2835 - For the 1st fraction, since 35 × 81 = 2835,
7/35 = 7 × 81/35 × 81 = 567/2835 - Likewise, for the 2nd fraction, since 81 × 35 = 2835,
35/81 = 35 × 35/81 × 35 = 1225/2835 - Add the two like fractions:
567/2835 + 1225/2835 = 567 + 1225/2835 = 1792/2835 - 1792/2835 simplified gives 256/405
- So, 7/35 + 35/81 = 256/405
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