Add 75/56 and 35/40
1st number: 1 19/56, 2nd number: 35/40
75/56 + 35/40 is 31/14.
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,
75/56 = 75 × 5/56 × 5 = 375/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
35/40 = 35 × 7/40 × 7 = 245/280 - Add the two like fractions:
375/280 + 245/280 = 375 + 245/280 = 620/280 - 620/280 simplified gives 31/14
- So, 75/56 + 35/40 = 31/14
In mixed form: 23/14
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