Arrange the following fractions in descending order 3/4, 3/8, 1/2, 1/8 and 4/5

1 answer

To arrange the fractions \( \frac{3}{4}, \frac{3}{8}, \frac{1}{2}, \frac{1}{8}, \frac{4}{5} \) in descending order, we can either convert them to decimals or find a common denominator.

Let's convert each fraction to a decimal:

  • \( \frac{3}{4} = 0.75 \)
  • \( \frac{3}{8} = 0.375 \)
  • \( \frac{1}{2} = 0.5 \)
  • \( \frac{1}{8} = 0.125 \)
  • \( \frac{4}{5} = 0.8 \)

Now, we can compare the decimal values:

  1. \( 0.8 \) (which is \( \frac{4}{5} \))
  2. \( 0.75 \) (which is \( \frac{3}{4} \))
  3. \( 0.5 \) (which is \( \frac{1}{2} \))
  4. \( 0.375 \) (which is \( \frac{3}{8} \))
  5. \( 0.125 \) (which is \( \frac{1}{8} \))

Now, we can write them in descending order:

\[ \frac{4}{5}, \frac{3}{4}, \frac{1}{2}, \frac{3}{8}, \frac{1}{8} \]

So, the fractions in descending order are:

\(\frac{4}{5}, \frac{3}{4}, \frac{1}{2}, \frac{3}{8}, \frac{1}{8}\).