Add 1/30 and 75/27
1st number: 1/30, 2nd number: 2 21/27
1/30 + 75/27 is 253/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
1/30 = 1 × 9/30 × 9 = 9/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
75/27 = 75 × 10/27 × 10 = 750/270 - Add the two like fractions:
9/270 + 750/270 = 9 + 750/270 = 759/270 - 759/270 simplified gives 253/90
- So, 1/30 + 75/27 = 253/90
In mixed form: 273/90
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