Compare 30/45 and 12/40
30/45 is greater than 12/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 40 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 40 × 9 = 360,
12/40 = 12 × 9/40 × 9 = 108/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/360 > 108/360 or 30/45 > 12/40
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