Compare 35/75 and 70/21
1st number: 35/75, 2nd number: 3 7/21
35/75 is smaller than 70/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
35/75 = 35 × 7/75 × 7 = 245/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
70/21 = 70 × 25/21 × 25 = 1750/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/525 < 1750/525 or 35/75 < 70/21
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