Compare 10/42 and 4/10
1042 is smaller than 410
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 10 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
1042 = 10 × 542 × 5 = 50210 - Likewise, for the 2nd fraction, since 10 × 21 = 210,
410 = 4 × 2110 × 21 = 84210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50210 < 84210 or 1042 < 410
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