Compare 45/70 and 54/80
45/70 is smaller than 54/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 80 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 70 × 8 = 560,
45/70 = 45 × 8/70 × 8 = 360/560 - Likewise, for the 2nd fraction, since 80 × 7 = 560,
54/80 = 54 × 7/80 × 7 = 378/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/560 < 378/560 or 45/70 < 54/80
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