Compare 4/45 and 4/7
4/45 is smaller than 4/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
4/45 = 4 × 7/45 × 7 = 28/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
4/7 = 4 × 45/7 × 45 = 180/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/315 < 180/315 or 4/45 < 4/7
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