Converting 0.05 to Fraction Form: Decimal Transformation Exercise

Question

Convert into fraction form:

0.05= 0.05=

Video Solution

Solution Steps

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 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}

Answer

20400 \frac{20}{400}