Compare 40/45 and 45/8
1st number: 40/45, 2nd number: 5 5/8
40/45 is smaller than 45/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 8 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
40/45 = 40 × 8/45 × 8 = 320/360 - Likewise, for the 2nd fraction, since 8 × 45 = 360,
45/8 = 45 × 45/8 × 45 = 2025/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/360 < 2025/360 or 40/45 < 45/8
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