Compare 75/70 and 84/16
1st number: 1 5/70, 2nd number: 5 4/16
75/70 is smaller than 84/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 16 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 70 × 8 = 560,
75/70 = 75 × 8/70 × 8 = 600/560 - Likewise, for the 2nd fraction, since 16 × 35 = 560,
84/16 = 84 × 35/16 × 35 = 2940/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/560 < 2940/560 or 75/70 < 84/16
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