Compare 70/84 and 40/90
70/84 is greater than 40/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
70/84 = 70 × 15/84 × 15 = 1050/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
40/90 = 40 × 14/90 × 14 = 560/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1050/1260 > 560/1260 or 70/84 > 40/90
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