Compare 7/12 and 21/45
712 is greater than 2145
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 12 × 15 = 180,
712 = 7 × 1512 × 15 = 105180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
2145 = 21 × 445 × 4 = 84180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105180 > 84180 or 712 > 2145
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