Reviewed by Laila A. Lico
Express 0.29 as a fraction in the simplest form
Answer: 0.29 as a fraction in the simplest form is 29/100
Converting a decimal number like 0.29 into a fraction involves expressing the number as a ratio of two integers. This conversion helps in understanding the relationship between decimals and fractions, and is a useful skill for many areas of mathematics and everyday life. The goal is to represent the decimal in its simplest fractional form, making it easy to interpret and use.
Methods
Math Tutor Explanation Using the Place Value Method
This method involves identifying the place value of the last digit in the decimal and using it to form the fraction.
Step 1: Step 1: Recognize that 0.29 has two decimal places, which means the denominator will be 100
Step 2: Step 2: Write the decimal as 29/100
Math Tutor Explanation Using the Division Method
This method converts the decimal into a fraction by considering it as a division problem, then simplifying if necessary.
Step 1: Step 1: Write 0.29 as 29 divided by 100 (29 ÷ 100)
Step 2: Step 2: Express the division as the fraction 29/100
Step 1:
Step 2:
Math Tutor suggests: Practice Writing Decimals as Fractions
Continue strengthening your understanding of converting decimals to fractions in their simplest forms by exploring these related exercises.
FAQ on Converting Decimals to Fractions
How do you know which place value to use for the denominator?
Count the number of decimal places; for two decimal places, use 100 as the denominator.
Can all decimals be converted to simple fractions?
Only terminating and repeating decimals can be exactly converted into fractions.
What if the decimal repeats?
Repeating decimals require a different process involving algebraic steps to express as a fraction.
Do you always need to simplify the fraction?
Yes, fractions should be expressed in their simplest form whenever possible.
What are common mistakes when converting decimals to fractions?
Common mistakes include using the wrong denominator or forgetting to simplify the fraction.
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