Converting 0.05 to Fraction Form: Decimal Transformation Exercise

Convert into fraction form:

0.05= 0.05=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert to fraction
00:03 First match between digit position and appropriate division
00:06 Add 0 to fraction
00:10 Place the digits after the decimal point in numerator
00:13 And the position of the last digit in denominator
00:21 Multiply both numerator and denominator to find the appropriate fraction
00:28 And that's the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert into fraction form:

0.05= 0.05=

2

Step-by-step solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

005100 \frac{005}{100}

Let's remove the unnecessary zeros as follows:

5100 \frac{5}{100}

Let's then proceed to multiply both numerator and denominator by 4 and we obtain the following:

5×4100×4=20400 \frac{5\times4}{100\times4}=\frac{20}{400}

3

Final Answer

20400 \frac{20}{400}

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

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

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