Compare 15/8 and 40/45
1st number: 1 7/8, 2nd number: 40/45
15/8 is greater than 40/45
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,
15/8 = 15 × 45/8 × 45 = 675/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
40/45 = 40 × 8/45 × 8 = 320/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/360 > 320/360 or 15/8 > 40/45
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