Add 30/40 and 40/56
30/40 + 40/56 is 41/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
40/56 = 40 × 5/56 × 5 = 200/280 - Add the two like fractions:
210/280 + 200/280 = 210 + 200/280 = 410/280 - 410/280 simplified gives 41/28
- So, 30/40 + 40/56 = 41/28
In mixed form: 113/28
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