Compare 21/60 and 60/70
21/60 is smaller than 60/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
21/60 = 21 × 7/60 × 7 = 147/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
60/70 = 60 × 6/70 × 6 = 360/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/420 < 360/420 or 21/60 < 60/70
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