Converting Decimal to Fraction: Transform 0.55 into Simplified Form

Convert 0.55 into a fraction.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert to a simple fraction
00:03 Move the decimal point right until the number is whole
00:06 In a decimal fraction, the denominator must be some multiple of 10 by 10
00:11 We moved the point twice to the right, so we'll add two 0s to the denominator
00:14 Write the digits in the numerator
00:18 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Convert 0.55 into a fraction.

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the decimal number given as 0.55.
  • Step 2: Express 0.55 as a fraction using its place value.
  • Step 3: Verify which choice this corresponds to among the provided options.

Let's work through each step:

Step 1: We have the decimal 0.55.

Step 2: In the decimal number 0.55, the first '5' is in the tenths place, and the second '5' is in the hundredths place, so this can be expressed as:
0.55=55100 0.55 = \frac{55}{100} This places 55 over 100 to correspond with its placement in the hundredths position in decimal terminology.

Step 3: Comparing the resulting fraction 55100\frac{55}{100} with the choices provided, this matches choice number two. Therefore, choice number two is the correct answer.

Hence, the solution to the problem is 55100 \frac{55}{100} .

3

Final Answer

55100 \frac{55}{100}

Practice Quiz

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Write the following fraction as a decimal:

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

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