Add 10/75 and 40/56
10/75 + 40/56 is 89/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 75 × 56 = 4200,
10/75 = 10 × 56/75 × 56 = 560/4200 - Likewise, for the 2nd fraction, since 56 × 75 = 4200,
40/56 = 40 × 75/56 × 75 = 3000/4200 - Add the two like fractions:
560/4200 + 3000/4200 = 560 + 3000/4200 = 3560/4200 - 3560/4200 simplified gives 89/105
- So, 10/75 + 40/56 = 89/105
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