Compare 24/30 and 7/64
24/30 is greater than 7/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 30 × 32 = 960,
24/30 = 24 × 32/30 × 32 = 768/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
7/64 = 7 × 15/64 × 15 = 105/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 768/960 > 105/960 or 24/30 > 7/64
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