Understanding How to Convert Decimals to Fractions
Do you need help understanding how to convert decimals to fractions? It’s a common problem that many people encounter, but there’s no need to worry. In this article, we’ll explain how you can convert decimals to fractions and get a deeper understanding of what (10/9) is equivalent to.
What is a Decimal?
Before we delve into converting decimals to fractions, let’s first understand what a decimal is. A decimal is a numerical value that represents a part of a whole number. It’s written using a decimal point to separate the whole number from its decimal part. For example, 0.5 represents half of 1.
Converting Decimals to Fractions
To convert a decimal to a fraction, you need to follow these simple steps:
Step 1: Determine the place value of the last digit in the decimal.
Step 2: Write down the digit as the numerator and the place value as the denominator.
Step 3: Simplify the fraction, if possible.
For example, if you want to convert 0.75 to a fraction, the last digit is located in the hundredths place. Therefore, the fraction is written as 75/100 or simplified to 3/4.
Understanding What (10/9) is Equivalent to
Now that you know how to convert decimals to fractions, let’s take a look at what (10/9) is equivalent to. If you divide 10 by 9, you get 1.11111111, which is a repeating decimal. To convert this decimal to a fraction, you need to follow the steps we discussed earlier.
Step 1: Identify the repeating pattern, which is 1.
Step 2: Write down the repeating pattern as the numerator and the appropriate number of 9s as the denominator. In this case, it’s 1/9.
Step 3: Simplify the fraction, if possible.
Therefore, (10/9) is equivalent to 1 and 1/9.
Conclusion
Converting decimals to fractions may seem intimidating at first, but it’s a simple process that can be mastered with practice. Remember, to convert a decimal to a fraction, you need to determine the place value of the last digit in the decimal, write down the digit as the numerator and the place value as the denominator, and simplify the fraction if possible. Moreover, (10/9) is equivalent to 1 and 1/9 when converted to a fraction. Practice converting decimals to fractions and understand their equivalents to strengthen your math skills.
