Compare 10/40 and 75/84
10/40 is smaller than 75/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 84 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
10/40 = 10 × 21/40 × 21 = 210/840 - Likewise, for the 2nd fraction, since 84 × 10 = 840,
75/84 = 75 × 10/84 × 10 = 750/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/840 < 750/840 or 10/40 < 75/84
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