The decimal number 2.13 can be written in fraction form as 213/100.
To convert a decimal to a fraction, we need to write the decimal as a fraction with a denominator that is a power of 10. In this case, 2.13 can be written as 213/100.
Simplifying the fraction, we get:
213/100 = 213 ÷ 1/100 = 213 ÷ 1/100 × 100/100 = 21300/10000 = 213/100
So, the fraction form of 2.13 is 213/100.
Here's a more detailed explanation:
Why is 2.13 equal to 213/100?
When we write 2.13 as a fraction, we need to consider the place value of each digit. The digit 2 is in the ones place, the digit 1 is in the tenths place, and the digit 3 is in the hundredths place.
To write 2.13 as a fraction, we can think of it as:
2 (ones) + 1/10 (tenths) + 3/100 (hundredths)
Combining these fractions, we get:
2 + 1/10 + 3/100 = 200/100 + 10/100 + 3/100 = 213/100
Therefore, 2.13 is equal to 213/100.
What are some other ways to write 2.13 as a fraction?
While 213/100 is the simplest way to write 2.13 as a fraction, there are other ways to express it. For example:
- 21.3/10 = 213/100
- 2130/1000 = 213/100
- 21.3/10 = 213/100
All of these fractions are equivalent to 213/100.
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Can we simplify 213/100 further?
Yes, we can simplify 213/100 by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 213 and 100 is 1, so we cannot simplify the fraction further.
Therefore, 213/100 is the simplest form of the fraction.
How to convert other decimals to fractions?
To convert other decimals to fractions, follow these steps:
- Write the decimal as a fraction with a denominator that is a power of 10.
- Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
For example, to convert 3.45 to a fraction, we can write it as 345/100. Simplifying this fraction, we get:
345/100 = 69/20
So, 3.45 is equal to 69/20.
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FAQs
What is the fraction form of 2.13?
+2.13 is equal to 213/100.
How to convert decimals to fractions?
+Write the decimal as a fraction with a denominator that is a power of 10. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
Can we simplify 213/100 further?
+No, 213/100 is the simplest form of the fraction.
I hope this helps! Let me know if you have any further questions or if there's anything else I can help you with.