Compare 45/16 and 21/30
1st number: 2 13/16, 2nd number: 21/30
45/16 is greater than 21/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 30 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 16 × 15 = 240,
45/16 = 45 × 15/16 × 15 = 675/240 - Likewise, for the 2nd fraction, since 30 × 8 = 240,
21/30 = 21 × 8/30 × 8 = 168/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/240 > 168/240 or 45/16 > 21/30
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