Add 75/40 and 49/56
1st number: 1 35/40, 2nd number: 49/56
75/40 + 49/56 is 11/4.
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,
75/40 = 75 × 7/40 × 7 = 525/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Add the two like fractions:
525/280 + 245/280 = 525 + 245/280 = 770/280 - 770/280 simplified gives 11/4
- So, 75/40 + 49/56 = 11/4
In mixed form: 23/4
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