Add 30/27 and 7/40
1st number: 1 3/27, 2nd number: 7/40
30/27 + 7/40 is 463/360.
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,
7/40 = 7 × 27/40 × 27 = 189/1080 - Add the two like fractions:
1200/1080 + 189/1080 = 1200 + 189/1080 = 1389/1080 - 1389/1080 simplified gives 463/360
- So, 30/27 + 7/40 = 463/360
In mixed form: 1103/360
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