Compare 40/45 and 30/72
40/45 is greater than 30/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 72 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
40/45 = 40 × 8/45 × 8 = 320/360 - Likewise, for the 2nd fraction, since 72 × 5 = 360,
30/72 = 30 × 5/72 × 5 = 150/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/360 > 150/360 or 40/45 > 30/72
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