Compare 30/4 and 64/45
1st number: 7 2/4, 2nd number: 1 19/45
30/4 is greater than 64/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 4 × 45 = 180,
30/4 = 30 × 45/4 × 45 = 1350/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
64/45 = 64 × 4/45 × 4 = 256/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1350/180 > 256/180 or 30/4 > 64/45
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