Compare Fractions and Decimals: Find the Correct Sign for 1/2 ? 0.25

Choose the appropriate sign (?):

12?0.25 \frac{1}{2}?0.25

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the appropriate sign
00:04 Expand the fraction so the denominator equals 10
00:08 Make sure to multiply both numerator and denominator
00:17 Now convert from fraction to decimal fraction
00:22 Write the numerator as a whole number
00:25 When denominator equals 10, move the decimal point once to the left
00:29 Replace the fraction with the decimal fraction
00:35 Choose the appropriate sign
00:37 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Choose the appropriate sign (?):

12?0.25 \frac{1}{2}?0.25

2

Step-by-step solution

To compare 12 \frac{1}{2} with 0.25, we will first convert the fraction to a decimal.

Step 1: Convert 12 \frac{1}{2} to a decimal:

To do this, divide 1 by 2:

1÷2=0.5 1 \div 2 = 0.5

Thus, 12 \frac{1}{2} is equivalent to 0.5 when expressed as a decimal.

Step 2: Compare the decimal values:

Now, we clearly see that 0.5 (from 12 \frac{1}{2} ) is greater than 0.25.

Therefore, the appropriate sign for the expression 12?0.25 \frac{1}{2} ? 0.25 is > \gt .

3

Final Answer

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Practice Quiz

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Write the following fraction as a decimal:

\( \frac{5}{100}= \)

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