Compare 40/42 and 35/40
40/42 is greater than 35/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
40/42 = 40 × 20/42 × 20 = 800/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
35/40 = 35 × 21/40 × 21 = 735/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 800/840 > 735/840 or 40/42 > 35/40
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