Add 27/36 and 45/70
27/36 + 45/70 is 39/28.
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,
27/36 = 27 × 35/36 × 35 = 945/1260 - Likewise, for the 2nd fraction, since 70 × 18 = 1260,
45/70 = 45 × 18/70 × 18 = 810/1260 - Add the two like fractions:
945/1260 + 810/1260 = 945 + 810/1260 = 1755/1260 - 1755/1260 simplified gives 39/28
- So, 27/36 + 45/70 = 39/28
In mixed form: 111/28
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