Compare 2/45 and 42/70
2/45 is smaller than 42/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 70 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
2/45 = 2 × 14/45 × 14 = 28/630 - Likewise, for the 2nd fraction, since 70 × 9 = 630,
42/70 = 42 × 9/70 × 9 = 378/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/630 < 378/630 or 2/45 < 42/70
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