Compare 30/60 and 10/7
1st number: 30/60, 2nd number: 1 3/7
30/60 is smaller than 10/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 7 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
30/60 = 30 × 7/60 × 7 = 210/420 - Likewise, for the 2nd fraction, since 7 × 60 = 420,
10/7 = 10 × 60/7 × 60 = 600/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/420 < 600/420 or 30/60 < 10/7
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