Compare 9/10 and 21/42
9/10 is greater than 21/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
9/10 = 9 × 21/10 × 21 = 189/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
21/42 = 21 × 5/42 × 5 = 105/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/210 > 105/210 or 9/10 > 21/42
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