Compare 36/64 and 48/45
1st number: 36/64, 2nd number: 1 3/45
36/64 is smaller than 48/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 45 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 64 × 45 = 2880,
36/64 = 36 × 45/64 × 45 = 1620/2880 - Likewise, for the 2nd fraction, since 45 × 64 = 2880,
48/45 = 48 × 64/45 × 64 = 3072/2880 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1620/2880 < 3072/2880 or 36/64 < 48/45
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