Compare 45/32 and 30/7
1st number: 1 13/32, 2nd number: 4 2/7
45/32 is smaller than 30/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 7 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
45/32 = 45 × 7/32 × 7 = 315/224 - Likewise, for the 2nd fraction, since 7 × 32 = 224,
30/7 = 30 × 32/7 × 32 = 960/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/224 < 960/224 or 45/32 < 30/7
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