Compare 10/45 and 42/64
10/45 is smaller than 42/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 64 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 45 × 64 = 2880,
10/45 = 10 × 64/45 × 64 = 640/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
42/64 = 42 × 45/64 × 45 = 1890/2880 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/2880 < 1890/2880 or 10/45 < 42/64
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