Add 45/75 and 2/7
45/75 + 2/7 is 31/35.
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,
2/7 = 2 × 75/7 × 75 = 150/525 - Add the two like fractions:
315/525 + 150/525 = 315 + 150/525 = 465/525 - 465/525 simplified gives 31/35
- So, 45/75 + 2/7 = 31/35
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