Compare 4/45 and 3/10
4/45 is smaller than 3/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 10 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
4/45 = 4 × 2/45 × 2 = 8/90 - Likewise, for the 2nd fraction, since 10 × 9 = 90,
3/10 = 3 × 9/10 × 9 = 27/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/90 < 27/90 or 4/45 < 3/10
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