Compare 45/70 and 84/75
1st number: 45/70, 2nd number: 1 9/75
45/70 is smaller than 84/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 70 × 15 = 1050,
45/70 = 45 × 15/70 × 15 = 675/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
84/75 = 84 × 14/75 × 14 = 1176/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/1050 < 1176/1050 or 45/70 < 84/75
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