Compare 4/45 and 21/8
1st number: 4/45, 2nd number: 2 5/8
4/45 is smaller than 21/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 8 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
4/45 = 4 × 8/45 × 8 = 32/360 - Likewise, for the 2nd fraction, since 8 × 45 = 360,
21/8 = 21 × 45/8 × 45 = 945/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/360 < 945/360 or 4/45 < 21/8
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