Add 10/75 and 40/7
1st number: 10/75, 2nd number: 5 5/7
10/75 + 40/7 is 614/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 7 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
10/75 = 10 × 7/75 × 7 = 70/525 - Likewise, for the 2nd fraction, since 7 × 75 = 525,
40/7 = 40 × 75/7 × 75 = 3000/525 - Add the two like fractions:
70/525 + 3000/525 = 70 + 3000/525 = 3070/525 - 3070/525 simplified gives 614/105
- So, 10/75 + 40/7 = 614/105
In mixed form: 589/105
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