Add 42/56 and 30/40
42/56 + 30/40 is 3/2.
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,
42/56 = 42 × 5/56 × 5 = 210/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Add the two like fractions:
210/280 + 210/280 = 210 + 210/280 = 420/280 - 420/280 simplified gives 3/2
- So, 42/56 + 30/40 = 3/2
In mixed form: 11/2
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