Compare 10/30 and 30/48
10/30 is smaller than 30/48
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,
10/30 = 10 × 8/30 × 8 = 80/240 - 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
- 80/240 < 150/240 or 10/30 < 30/48
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