Compare 14/30 and 35/48
14/30 is smaller than 35/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
14/30 = 14 × 8/30 × 8 = 112/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
35/48 = 35 × 5/48 × 5 = 175/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/240 < 175/240 or 14/30 < 35/48
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