Compare 1/15 and 54/56
1/15 is smaller than 54/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 15 × 56 = 840,
1/15 = 1 × 56/15 × 56 = 56/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
54/56 = 54 × 15/56 × 15 = 810/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/840 < 810/840 or 1/15 < 54/56
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