Compare 42/45 and 18/7
1st number: 42/45, 2nd number: 2 4/7
42/45 is smaller than 18/7
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,
42/45 = 42 × 7/45 × 7 = 294/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
18/7 = 18 × 45/7 × 45 = 810/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/315 < 810/315 or 42/45 < 18/7
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