Identify the place value of the last digit

Oct 13, 2025 by miodeya.com 102 views

Introduction

When dealing with decimal numbers, it's often necessary to express them as simplified fractions. This can be particularly useful in various mathematical operations, such as addition, subtraction, multiplication, and division. In this article, we will explore how to convert the decimal number 0.43 into a simplified fraction.

Understanding Decimal Numbers

A decimal number is a number that has a fractional part represented by digits after a decimal point. For example, 0.43 is a decimal number where 0.4 is the whole part and 0.03 is the fractional part. To convert a decimal number to a simplified fraction, we need to understand the concept of place value and the relationship between the decimal and fraction forms.

Converting 0.43 to a Fraction

To convert 0.43 to a fraction, we can use the following steps:

Identify the place value of the last digit: In the decimal number 0.43, the last digit is 3, which is in the hundredths place.
Determine the denominator: Since the last digit is in the hundredths place, the denominator of the fraction will be 100.
Write the fraction: The fraction can be written as 43/100.

Simplifying the Fraction

The fraction 43/100 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 43 and 100 is 1, which means that the fraction cannot be simplified further.

Conclusion

In conclusion, the decimal number 0.43 can be written as a simplified fraction as 43/100. This conversion can be useful in various mathematical operations and can help us better understand the relationship between decimal and fraction forms.

Frequently Asked Questions

What is the simplified fraction of 0.43? The simplified fraction of 0.43 is 43/100.
How do I convert a decimal number to a fraction? To convert a decimal number to a fraction, identify the place value of the last digit, determine the denominator, and write the fraction.
Can the fraction 43/100 be simplified further? No, the fraction 43/100 cannot be simplified further since the GCD of 43 and 100 is 1.

Final Answer

The final answer is: 43/100

Introduction

Converting decimal numbers to simplified fractions can be a challenging task, especially for those who are new to mathematics. However, with the right approach and understanding, it can be a straightforward process. In this article, we will provide a comprehensive Q&A guide on converting decimal numbers to simplified fractions.

Q1: What is the simplified fraction of 0.43?

A1: The simplified fraction of 0.43 is 43/100.

Q2: How do I convert a decimal number to a fraction?

A2: To convert a decimal number to a fraction, follow these steps:

Identify the place value of the last digit: Determine the place value of the last digit in the decimal number.
Determine the denominator: The denominator will be the number of places in the decimal part. For example, if the last digit is in the hundredths place, the denominator will be 100.
Write the fraction: Write the fraction with the decimal part as the numerator and the denominator as the number of places in the decimal part.

Q3: Can the fraction 43/100 be simplified further?

A3: No, the fraction 43/100 cannot be simplified further since the GCD of 43 and 100 is 1.

Q4: How do I determine the denominator of a decimal number?

A4: The denominator of a decimal number can be determined by counting the number of places in the decimal part. For example, if the last digit is in the hundredths place, the denominator will be 100.

Q5: What is the simplified fraction of 0.25?

A5: The simplified fraction of 0.25 is 25/100, which can be further simplified to 1/4.

Q6: How do I simplify a fraction?

A6: To simplify a fraction, follow these steps:

Find the GCD: Find the greatest common divisor (GCD) of the numerator and the denominator.
Divide both numbers by the GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction.

Q7: What is the simplified fraction of 0.75?

A7: The simplified fraction of 0.75 is 75/100, which can be further simplified to 3/4.

Q8: Can a decimal number have a repeating decimal?

A8: Yes, a decimal number can have a repeating decimal. For example, the decimal number 0.333... has a repeating decimal.

Q9: How do I convert a repeating decimal to a fraction?

A9: To convert a repeating decimal to a fraction, follow these steps:

Let x be the repeating decimal: Let x be the repeating decimal.
Multiply x by 10: Multiply x by 10 to shift the decimal point one place to the right.
Subtract the original decimal from the new decimal: Subtract the original decimal from the new decimal to eliminate the repeating part.
Solve for x: Solve for x to find the fraction.

Q10: What is the simplified fraction of 0.111...?

A10: The simplified fraction of 0.111... is 1/9.

Final Answer

The final answer is: 43/100