Compare 1/10 and 16/45
1/10 is smaller than 16/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 10 × 9 = 90,
1/10 = 1 × 9/10 × 9 = 9/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
16/45 = 16 × 2/45 × 2 = 32/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/90 < 32/90 or 1/10 < 16/45
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