Add 45/75 and 30/35
45/75 + 30/35 is 51/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 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 35 × 15 = 525,
30/35 = 30 × 15/35 × 15 = 450/525 - Add the two like fractions:
315/525 + 450/525 = 315 + 450/525 = 765/525 - 765/525 simplified gives 51/35
- So, 45/75 + 30/35 = 51/35
In mixed form: 116/35
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