Add 35/30 and 75/54
1st number: 1 5/30, 2nd number: 1 21/54
35/30 + 75/54 is 23/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
35/30 = 35 × 9/30 × 9 = 315/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
75/54 = 75 × 5/54 × 5 = 375/270 - Add the two like fractions:
315/270 + 375/270 = 315 + 375/270 = 690/270 - 690/270 simplified gives 23/9
- So, 35/30 + 75/54 = 23/9
In mixed form: 25/9
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