Add 45/75 and 30/7
1st number: 45/75, 2nd number: 4 2/7
45/75 + 30/7 is 171/35.
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,
45/75 = 45 × 7/75 × 7 = 315/525 - Likewise, for the 2nd fraction, since 7 × 75 = 525,
30/7 = 30 × 75/7 × 75 = 2250/525 - Add the two like fractions:
315/525 + 2250/525 = 315 + 2250/525 = 2565/525 - 2565/525 simplified gives 171/35
- So, 45/75 + 30/7 = 171/35
In mixed form: 431/35
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