Add 9/40 and 75/56
1st number: 9/40, 2nd number: 1 19/56
9/40 + 75/56 is 219/140.
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,
9/40 = 9 × 7/40 × 7 = 63/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
75/56 = 75 × 5/56 × 5 = 375/280 - Add the two like fractions:
63/280 + 375/280 = 63 + 375/280 = 438/280 - 438/280 simplified gives 219/140
- So, 9/40 + 75/56 = 219/140
In mixed form: 179/140
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