Convert Decimal to Fraction: Express 0.11 in Simplest Form

Question

Convert into fraction form:

0.11= 0.11=

Video Solution

Solution Steps

00:00 Convert to decimal fraction
00:03 Match the position of digits after the decimal point to the appropriate division
00:06 Add 0 to the fraction
00:10 Place the digits in the numerator, and the appropriate division in the denominator
00:14 And this is 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:

011100 \frac{011}{100}

Finally we will remove the unnecessary zeros as follows:

11100 \frac{11}{100}

Answer

11100 \frac{11}{100}