Add 30/75 and 6/7
30/75 + 6/7 is 44/35.
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,
30/75 = 30 × 7/75 × 7 = 210/525 - Likewise, for the 2nd fraction, since 7 × 75 = 525,
6/7 = 6 × 75/7 × 75 = 450/525 - Add the two like fractions:
210/525 + 450/525 = 210 + 450/525 = 660/525 - 660/525 simplified gives 44/35
- So, 30/75 + 6/7 = 44/35
In mixed form: 19/35
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