Compare 30/7 and 35/32
1st number: 4 2/7, 2nd number: 1 3/32
30/7 is greater than 35/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 32 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 7 × 32 = 224,
30/7 = 30 × 32/7 × 32 = 960/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
35/32 = 35 × 7/32 × 7 = 245/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 960/224 > 245/224 or 30/7 > 35/32
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