Compare 35/30 and 49/56
1st number: 1 5/30, 2nd number: 49/56
35/30 is greater than 49/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 30 × 28 = 840,
35/30 = 35 × 28/30 × 28 = 980/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
49/56 = 49 × 15/56 × 15 = 735/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 980/840 > 735/840 or 35/30 > 49/56
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