Compare 8/9 and 42/72
8/9 is greater than 42/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 72 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
8/9 = 8 × 8/9 × 8 = 64/72 - Likewise, for the 2nd fraction, since 72 × 1 = 72,
42/72 = 42 × 1/72 × 1 = 42/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/72 > 42/72 or 8/9 > 42/72
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