Add 10/30 and 35/45
10/30 + 35/45 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
10/30 = 10 × 3/30 × 3 = 30/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
35/45 = 35 × 2/45 × 2 = 70/90 - Add the two like fractions:
30/90 + 70/90 = 30 + 70/90 = 100/90 - 100/90 simplified gives 10/9
- So, 10/30 + 35/45 = 10/9
In mixed form: 11/9
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