Compare 45/32 and 21/30
1st number: 1 13/32, 2nd number: 21/30
45/32 is greater than 21/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 30 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 32 × 15 = 480,
45/32 = 45 × 15/32 × 15 = 675/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
21/30 = 21 × 16/30 × 16 = 336/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/480 > 336/480 or 45/32 > 21/30
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