Add 30/36 and 45/70
30/36 + 45/70 is 31/21.
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,
30/36 = 30 × 35/36 × 35 = 1050/1260 - Likewise, for the 2nd fraction, since 70 × 18 = 1260,
45/70 = 45 × 18/70 × 18 = 810/1260 - Add the two like fractions:
1050/1260 + 810/1260 = 1050 + 810/1260 = 1860/1260 - 1860/1260 simplified gives 31/21
- So, 30/36 + 45/70 = 31/21
In mixed form: 110/21
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