Add 35/70 and 35/49
35/70 + 35/49 is 17/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 49 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 70 × 7 = 490,
35/70 = 35 × 7/70 × 7 = 245/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
35/49 = 35 × 10/49 × 10 = 350/490 - Add the two like fractions:
245/490 + 350/490 = 245 + 350/490 = 595/490 - 595/490 simplified gives 17/14
- So, 35/70 + 35/49 = 17/14
In mixed form: 13/14
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