Compare 40/80 and 3/70
40/80 is greater than 3/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 70 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 80 × 7 = 560,
40/80 = 40 × 7/80 × 7 = 280/560 - Likewise, for the 2nd fraction, since 70 × 8 = 560,
3/70 = 3 × 8/70 × 8 = 24/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/560 > 24/560 or 40/80 > 3/70
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