How do you know that the fraction 24 over 30 is larger than 2 over 3?

Answer 1

To compare the fractions ( \frac{24}{30} ) and ( \frac{2}{3} ), we can find a common denominator or cross-multiply. The equivalent fraction of ( \frac{2}{3} ) with a denominator of 30 is ( \frac{20}{30} ) (since ( 2 \times 10 = 20 ) and ( 3 \times 10 = 30 )). Comparing ( \frac{24}{30} ) and ( \frac{20}{30} ), we see that 24 is greater than 20, thus ( \frac{24}{30} ) is larger than ( \frac{2}{3} ).