Compare 49/4 and 42/45
1st number: 12 1/4, 2nd number: 42/45
49/4 is greater than 42/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 4 × 45 = 180,
49/4 = 49 × 45/4 × 45 = 2205/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
42/45 = 42 × 4/45 × 4 = 168/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2205/180 > 168/180 or 49/4 > 42/45
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