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

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

• A. 3/5
• B. 2/3
• C. 1/2
• D. They are equal

Answer: (B)

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.

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.