Compare 5/11 and 4/5 using the benchmark fraction 1/2

Question

Use the drop-down menus to fill in the statements below. You can use the number line as a visual aide, if needed.

The fraction _________is less than the benchmark 1/2

Answer 1

To compare the fractions 5/11 and 4/5 using the benchmark fraction 1/2, we can convert each fraction to decimals or compare them directly.

1. Convert 5/11 to a decimal:

   • 5 divided by 11 is approximately 0.4545 (or 45.45%).

2. Convert 4/5 to a decimal:

   • 4 divided by 5 is 0.8 (or 80%).

Now, we can compare to the benchmark fraction of 1/2, which is 0.5 (or 50%).

• Since 0.4545 (5/11) is less than 0.5 (1/2), we can say that 5/11 is less than the benchmark.
• Since 0.8 (4/5) is greater than 0.5 (1/2), 4/5 is greater than the benchmark.

Now, filling in the statement:

The fraction 5/11 is less than the benchmark 1/2.