Compare 40/70 and 9/72
40/70 is greater than 9/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 72 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 70 × 36 = 2520,
40/70 = 40 × 36/70 × 36 = 1440/2520 - Likewise, for the 2nd fraction, since 72 × 35 = 2520,
9/72 = 9 × 35/72 × 35 = 315/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1440/2520 > 315/2520 or 40/70 > 9/72
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