Compare 2/16 and 7/45
2/16 is smaller than 7/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 45 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 16 × 45 = 720,
2/16 = 2 × 45/16 × 45 = 90/720 - Likewise, for the 2nd fraction, since 45 × 16 = 720,
7/45 = 7 × 16/45 × 16 = 112/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/720 < 112/720 or 2/16 < 7/45
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