Add 30/72 and 40/27
1st number: 30/72, 2nd number: 1 13/27
30/72 + 40/27 is 205/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 72 × 3 = 216,
30/72 = 30 × 3/72 × 3 = 90/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
40/27 = 40 × 8/27 × 8 = 320/216 - Add the two like fractions:
90/216 + 320/216 = 90 + 320/216 = 410/216 - 410/216 simplified gives 205/108
- So, 30/72 + 40/27 = 205/108
In mixed form: 197/108
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