Which fraction is larger: 3/5 or 2/3?

To determine which fraction is larger between 3/5 and 2/3, it can be helpful to find a common denominator or convert the fractions to decimal form.

First, consider converting both fractions to a common denominator. The denominators 5 and 3 can both be converted to 15, as it is the least common multiple of the two.

For 3/5:

• Multiply the numerator and denominator by 3: [ \frac{3 \times 3}{5 \times 3} = \frac{9}{15} ]

For 2/3:

• Multiply the numerator and denominator by 5: [ \frac{2 \times 5}{3 \times 5} = \frac{10}{15} ]

Now, compare the two converted fractions:

• 3/5 is equivalent to 9/15.
• 2/3 is equivalent to 10/15.

Since 10/15 is greater than 9/15, it follows that 2/3 is the larger fraction.