Compare 2/3 and 35/80
2/3 is greater than 35/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 80 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 3 × 80 = 240,
2/3 = 2 × 80/3 × 80 = 160/240 - Likewise, for the 2nd fraction, since 80 × 3 = 240,
35/80 = 35 × 3/80 × 3 = 105/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/240 > 105/240 or 2/3 > 35/80
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