Compare 30/45 and 3/8
30/45 is greater than 3/8
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,
30/45 = 30 × 8/45 × 8 = 240/360 - Likewise, for the 2nd fraction, since 8 × 45 = 360,
3/8 = 3 × 45/8 × 45 = 135/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/360 > 135/360 or 30/45 > 3/8
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