Compare 45/75 and 10/8
1st number: 45/75, 2nd number: 1 2/8
45/75 is smaller than 10/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 8 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
45/75 = 45 × 8/75 × 8 = 360/600 - Likewise, for the 2nd fraction, since 8 × 75 = 600,
10/8 = 10 × 75/8 × 75 = 750/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/600 < 750/600 or 45/75 < 10/8
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