Compare Fraction and Decimal: 1/5 ? 0.22 - Select the Correct Sign

Choose the appropriate sign:

15?0.22 \frac{1}{5}?0.22

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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 Multiply the fraction by 2 to find the common denominator
00:21 Convert from fraction to decimal number
00:35 Compare the digits to find the larger number
00:41 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the appropriate sign:

15?0.22 \frac{1}{5}?0.22

2

Step-by-step solution

First, let's convert the simple fraction into a decimal fraction.

We'll multiply the fraction so that we get 10 in the denominator:

15×22=210 \frac{1}{5}\times\frac{2}{2}=\frac{2}{10}

Now let's convert the simple fraction we got to a decimal fraction.

Let's write the number 2 as a decimal fraction:

2=2. 2=2.

Since the simple fraction we got is divisible by 10, we'll move the decimal point one place to the left and get:

2.=.2=0.2 2.=.2=0.2

Let's compare the two decimal numbers we got. We'll add 0 to the number 0.2:

0.20<0.22 0.20 < 0.22

3

Final Answer

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Which decimal number is greater?

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