Add 30/56 and 30/40
30/56 + 30/40 is 9/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 56 × 5 = 280,
30/56 = 30 × 5/56 × 5 = 150/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Add the two like fractions:
150/280 + 210/280 = 150 + 210/280 = 360/280 - 360/280 simplified gives 9/7
- So, 30/56 + 30/40 = 9/7
In mixed form: 12/7
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