Compare 30/70 and 30/32
30/70 is smaller than 30/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 32 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 70 × 16 = 1120,
30/70 = 30 × 16/70 × 16 = 480/1120 - Likewise, for the 2nd fraction, since 32 × 35 = 1120,
30/32 = 30 × 35/32 × 35 = 1050/1120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/1120 < 1050/1120 or 30/70 < 30/32
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