Compare 40/75 and 4/28
40/75 is greater than 4/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 28 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Likewise, for the 2nd fraction, since 28 × 75 = 2100,
4/28 = 4 × 75/28 × 75 = 300/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1120/2100 > 300/2100 or 40/75 > 4/28
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