Compare 30/49 and 45/8
1st number: 30/49, 2nd number: 5 5/8
30/49 is smaller than 45/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 8 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 49 × 8 = 392,
30/49 = 30 × 8/49 × 8 = 240/392 - Likewise, for the 2nd fraction, since 8 × 49 = 392,
45/8 = 45 × 49/8 × 49 = 2205/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/392 < 2205/392 or 30/49 < 45/8
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