Compare 3/10 and 20/48
3/10 is smaller than 20/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 10 × 24 = 240,
3/10 = 3 × 24/10 × 24 = 72/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
20/48 = 20 × 5/48 × 5 = 100/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/240 < 100/240 or 3/10 < 20/48
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