Compare 45/84 and 30/7
1st number: 45/84, 2nd number: 4 2/7
45/84 is smaller than 30/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 7 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
45/84 = 45 × 1/84 × 1 = 45/84 - Likewise, for the 2nd fraction, since 7 × 12 = 84,
30/7 = 30 × 12/7 × 12 = 360/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/84 < 360/84 or 45/84 < 30/7
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