Compare 35/4 and 45/7
1st number: 8 3/4, 2nd number: 6 3/7
35/4 is greater than 45/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
35/4 = 35 × 7/4 × 7 = 245/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
45/7 = 45 × 4/7 × 4 = 180/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/28 > 180/28 or 35/4 > 45/7
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