Question

Compare and find the larger number by converting each fraction to a decimal. Which is larger?

1) (or 0.8) is the larger number.
2) (or 0.833...) is the larger number.
3) (0.888...) is the larger number.
4) (or 0.83) is the larger number.

Answer 1

To compare the fractions and find the larger number, we convert each fraction to a decimal and then compare the decimals. The larger number is found to be (0.888...) which corresponds to option 3).

Step-by-step explanation:

To compare the given fractions and find the larger number, we need to convert each fraction to a decimal. Let's convert each fraction:

1. 1) 3/4 = 0.75
2. 2) 5/6 = 0.833...
3. 3) 8/9 = 0.888...
4. 4) 5/6 = 0.833...

Comparing the decimals:
0.8 < 0.833... = 0.8333... = 0.83 < 0.888...
Therefore, the larger number is (0.888...) which corresponds to 3) in the given options.