Add 9/56 and 40/75
9/56 + 40/75 is 583/840.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 75 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 56 × 75 = 4200,
9/56 = 9 × 75/56 × 75 = 675/4200 - Likewise, for the 2nd fraction, since 75 × 56 = 4200,
40/75 = 40 × 56/75 × 56 = 2240/4200 - Add the two like fractions:
675/4200 + 2240/4200 = 675 + 2240/4200 = 2915/4200 - 2915/4200 simplified gives 583/840
- So, 9/56 + 40/75 = 583/840
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