Compare 4/7 and 42/45
4/7 is smaller than 42/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
4/7 = 4 × 45/7 × 45 = 180/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/315 < 294/315 or 4/7 < 42/45
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