Compare 2/8 and 32/45
2/8 is smaller than 32/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 8 × 45 = 360,
2/8 = 2 × 45/8 × 45 = 90/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
32/45 = 32 × 8/45 × 8 = 256/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/360 < 256/360 or 2/8 < 32/45
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