Add 35/36 and 40/70
35/36 + 40/70 is 389/252.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 70 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 36 × 35 = 1260,
35/36 = 35 × 35/36 × 35 = 1225/1260 - Likewise, for the 2nd fraction, since 70 × 18 = 1260,
40/70 = 40 × 18/70 × 18 = 720/1260 - Add the two like fractions:
1225/1260 + 720/1260 = 1225 + 720/1260 = 1945/1260 - 1945/1260 simplified gives 389/252
- So, 35/36 + 40/70 = 389/252
In mixed form: 1137/252
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