Compare 30/32 and 49/70
30/32 is greater than 49/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 70 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 32 × 35 = 1120,
30/32 = 30 × 35/32 × 35 = 1050/1120 - Likewise, for the 2nd fraction, since 70 × 16 = 1120,
49/70 = 49 × 16/70 × 16 = 784/1120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1050/1120 > 784/1120 or 30/32 > 49/70
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