Add 40/75 and 5/56
40/75 + 5/56 is 523/840.
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,
40/75 = 40 × 56/75 × 56 = 2240/4200 - Likewise, for the 2nd fraction, since 56 × 75 = 4200,
5/56 = 5 × 75/56 × 75 = 375/4200 - Add the two like fractions:
2240/4200 + 375/4200 = 2240 + 375/4200 = 2615/4200 - 2615/4200 simplified gives 523/840
- So, 40/75 + 5/56 = 523/840
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