Compare 10/18 and 70/75
10/18 is smaller than 70/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 75 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 18 × 25 = 450,
10/18 = 10 × 25/18 × 25 = 250/450 - Likewise, for the 2nd fraction, since 75 × 6 = 450,
70/75 = 70 × 6/75 × 6 = 420/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 250/450 < 420/450 or 10/18 < 70/75
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