Compare 25/9 and 75/7
1st number: 2 7/9, 2nd number: 10 5/7
25/9 is smaller than 75/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 7 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
25/9 = 25 × 7/9 × 7 = 175/63 - Likewise, for the 2nd fraction, since 7 × 9 = 63,
75/7 = 75 × 9/7 × 9 = 675/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/63 < 675/63 or 25/9 < 75/7
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