Compare 30/40 and 3/45
30/40 is greater than 3/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
30/40 = 30 × 9/40 × 9 = 270/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
3/45 = 3 × 8/45 × 8 = 24/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/360 > 24/360 or 30/40 > 3/45
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