Compare 8/16 and 42/60
8/16 is smaller than 42/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 60 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 16 × 15 = 240,
8/16 = 8 × 15/16 × 15 = 120/240 - Likewise, for the 2nd fraction, since 60 × 4 = 240,
42/60 = 42 × 4/60 × 4 = 168/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/240 < 168/240 or 8/16 < 42/60
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