Compare 40/90 and 15/8
1st number: 40/90, 2nd number: 1 7/8
40/90 is smaller than 15/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 8 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 90 × 4 = 360,
40/90 = 40 × 4/90 × 4 = 160/360 - Likewise, for the 2nd fraction, since 8 × 45 = 360,
15/8 = 15 × 45/8 × 45 = 675/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/360 < 675/360 or 40/90 < 15/8
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