Compare Mixed Values Sample Problems

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Here are some tips for Compare Mixed Values, which aligns with Hawaii state standards:

Compare Mixed Values

To do this topic, you will need to how to order decimals and how fractions and decimals relate.
To review the Order Decimals topic, see here.
To review how fractions and decimals relate, see here.

There are two ways to compare a fraction and a decimal:

Convert both numbers to fractions and compare
OR
Convert both numbers to decimals and compare

Pick the way that is easy for you.

Example 1: Greater than

Compare. Round fractions to the nearest hundredth when comparing. For example, 2/3 = 0.67.

0.73

Comparing Fractions Comparing Decimals

? 0.73 ? 0.73

? 0.5 ? 0.73

> 0.5 > 0.73

This means that 0.73

Comparing Decimals
?	0.73		?	0.73
?		0.5	?	0.73
>		0.5	>	0.73

Example 2: Less than

Compare. Round fractions to the nearest hundredth when comparing. For example, 2/3 = 0.67.

1 1.41

Comparing Fractions Comparing Decimals

1 ? 1.41 1 ? 1.41

1 ? 1 1.4 ? 1.41

1 < 1 1.4 < 1.41

The answer is 1 1.41

Comparing Fractions
1	?	1.41	1		?	1.41
1	?	1		1.4	?	1.41
1	<	1		1.4	<	1.41

Example 3: Equal to

Compare. Round fractions to the nearest hundredth when comparing. For example, 2/3 = 0.67.

0.33

For this problem, we can ONLY compare decimals.
This is because 1/3 = 0.3333333....
Rounding to the nearest hundredth, 1/3 = 0.33

So, the answer is 0.33

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