Add 30/27 and 24/40
1st number: 1 3/27, 2nd number: 24/40
30/27 + 24/40 is 77/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
30/27 = 30 × 40/27 × 40 = 1200/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
24/40 = 24 × 27/40 × 27 = 648/1080 - Add the two like fractions:
1200/1080 + 648/1080 = 1200 + 648/1080 = 1848/1080 - 1848/1080 simplified gives 77/45
- So, 30/27 + 24/40 = 77/45
In mixed form: 132/45
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