Question

Which of the decimals or fractions is equivalent to neither 0.825 nor 5/8 ?

Answer 1

To find which decimals or fractions are equivalent to neither 0.825 nor 5/8, compare the two. Convert 0.825 to a fraction and simplify both fractions. 33/40 is neither equivalent to 0.825 nor 5/8.

Step-by-step explanation:

To find which decimals or fractions are equivalent to neither 0.825 nor 5/8, we can compare them. Firstly, 0.825 can be written as a fraction by moving the decimal point two places to the right, which gives us 825/1000. Now, let's simplify both fractions. 5/8 cannot be simplified any further, so it is not equivalent to 0.825.

Simplifying 825/1000, we can divide both the numerator and denominator by 25, resulting in 33/40. Therefore, 33/40 is neither equivalent to 0.825 nor 5/8.

Answer 2

The only option that is equivalent to neither 0.825 nor 5/8 is 0.9.

Based on the image you sent, here's how we can determine which decimal or fraction is equivalent to neither 0.825 nor 5/8:

Options:

0.825

5/8 (which is equal to 0.625)

0.9

3/4 (which is equal to 0.75)

0.625

Analysis:

0.825 and 5/8 (0.625): These two options are explicitly excluded in the question, so they are not the answer.

0.9: This decimal is not equal to either 0.825 or 0.625, so it qualifies as a possibility.

3/4 (0.75): This option is equal to 0.75, which is different from 0.825 but the same as 5/8 (0.625). Therefore, it does not meet the criterion of being different from both.

0.625: This decimal is the same as 5/8, which was excluded in the question, so it's not the answer.

Justification:

0.9 is greater than 0.825 but less than 0.625 (5/8).

It stands alone amongst the listed options in not being equal to or a close equivalent of either 0.825 or 5/8.

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