Compare 75/45 and 40/72
1st number: 1 30/45, 2nd number: 40/72
75/45 is greater than 40/72
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,
75/45 = 75 × 8/45 × 8 = 600/360 - Likewise, for the 2nd fraction, since 72 × 5 = 360,
40/72 = 40 × 5/72 × 5 = 200/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/360 > 200/360 or 75/45 > 40/72
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