Compare 30/7 and 75/40
1st number: 4 2/7, 2nd number: 1 35/40
30/7 is greater than 75/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
30/7 = 30 × 40/7 × 40 = 1200/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
75/40 = 75 × 7/40 × 7 = 525/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1200/280 > 525/280 or 30/7 > 75/40
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