Compare 35/30 and 45/32
1st number: 1 5/30, 2nd number: 1 13/32
35/30 is smaller than 45/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 30 × 16 = 480,
35/30 = 35 × 16/30 × 16 = 560/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
45/32 = 45 × 15/32 × 15 = 675/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/480 < 675/480 or 35/30 < 45/32
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