Compare 6/45 and 56/40
1st number: 6/45, 2nd number: 1 16/40
6/45 is smaller than 56/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
6/45 = 6 × 8/45 × 8 = 48/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
56/40 = 56 × 9/40 × 9 = 504/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/360 < 504/360 or 6/45 < 56/40
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