Compare 30/70 and 30/48
30/70 is smaller than 30/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 48 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 70 × 24 = 1680,
30/70 = 30 × 24/70 × 24 = 720/1680 - Likewise, for the 2nd fraction, since 48 × 35 = 1680,
30/48 = 30 × 35/48 × 35 = 1050/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 720/1680 < 1050/1680 or 30/70 < 30/48
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