Compare 4/8 and 21/45
4/8 is greater than 21/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 8 × 45 = 360,
4/8 = 4 × 45/8 × 45 = 180/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
21/45 = 21 × 8/45 × 8 = 168/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/360 > 168/360 or 4/8 > 21/45
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