Compare 4/70 and 30/80
4/70 is smaller than 30/80
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,
4/70 = 4 × 8/70 × 8 = 32/560 - Likewise, for the 2nd fraction, since 80 × 7 = 560,
30/80 = 30 × 7/80 × 7 = 210/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/560 < 210/560 or 4/70 < 30/80
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