Compare 3/5 and 30/48
3/5 is smaller than 30/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 5 × 48 = 240,
3/5 = 3 × 48/5 × 48 = 144/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
30/48 = 30 × 5/48 × 5 = 150/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/240 < 150/240 or 3/5 < 30/48
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