What Is The Equivalent Fraction?Drag The Answer Into The Box To Match The Decimal $0.\overline{7}$.- $\frac{7}{99}$- $\frac{7}{9}$- $\frac{7}{100}$- $\frac{7}{11}$
Introduction to Equivalent Fractions
Equivalent fractions are fractions that have the same value, but their numerators and denominators are different. In other words, two fractions are equivalent if they can be simplified to the same decimal value. In this article, we will explore the concept of equivalent fractions and learn how to identify and create equivalent fractions.
Understanding the Concept of Equivalent Fractions
Equivalent fractions are fractions that have the same value, but their numerators and denominators are different. For example, the fractions 1/2 and 2/4 are equivalent because they can be simplified to the same decimal value, 0.5. Similarly, the fractions 3/6 and 6/12 are also equivalent because they can be simplified to the same decimal value, 0.5.
Identifying Equivalent Fractions
To identify equivalent fractions, we need to find fractions that have the same decimal value. We can do this by converting the fractions to decimals and comparing their values. For example, if we want to find the equivalent fraction of 0.5, we can convert the fractions 1/2, 2/4, 3/6, and 6/12 to decimals and compare their values.
Converting Fractions to Decimals
To convert a fraction to a decimal, we need to divide the numerator by the denominator. For example, to convert the fraction 1/2 to a decimal, we need to divide 1 by 2, which gives us 0.5. Similarly, to convert the fraction 2/4 to a decimal, we need to divide 2 by 4, which gives us 0.5.
Finding the Equivalent Fraction of 0.7
Now, let's find the equivalent fraction of 0.7. We can do this by converting the fractions 7/9, 7/11, 7/99, and 7/100 to decimals and comparing their values.
Converting 7/9 to a Decimal
To convert the fraction 7/9 to a decimal, we need to divide 7 by 9, which gives us 0.777... (repeating).
Converting 7/11 to a Decimal
To convert the fraction 7/11 to a decimal, we need to divide 7 by 11, which gives us 0.636... (repeating).
Converting 7/99 to a Decimal
To convert the fraction 7/99 to a decimal, we need to divide 7 by 99, which gives us 0.0707... (repeating).
Converting 7/100 to a Decimal
To convert the fraction 7/100 to a decimal, we need to divide 7 by 100, which gives us 0.07.
Comparing the Decimals
Now, let's compare the decimals we obtained in the previous section. We can see that the decimal 0.777... (repeating) is equal to the decimal 0.7, which means that the fraction 7/9 is equivalent to 0.7.
Conclusion
In conclusion, equivalent fractions are fractions that have the same value, but their numerators and denominators are different. We can identify equivalent fractions by converting them to decimals and comparing their values. In this article, we learned how to find the equivalent fraction of 0.7 and discovered that the fraction 7/9 is equivalent to 0.7.
Frequently Asked Questions
- What is an equivalent fraction? An equivalent fraction is a fraction that has the same value as another fraction, but its numerator and denominator are different.
- How do I identify equivalent fractions? To identify equivalent fractions, you need to convert them to decimals and compare their values.
- What is the equivalent fraction of 0.7? The equivalent fraction of 0.7 is 7/9.
Final Answer
The final answer is .
Introduction
Equivalent fractions are fractions that have the same value, but their numerators and denominators are different. In this article, we will answer some frequently asked questions about equivalent fractions.
Q&A
Q: What is an equivalent fraction?
A: An equivalent fraction is a fraction that has the same value as another fraction, but its numerator and denominator are different.
Q: How do I identify equivalent fractions?
A: To identify equivalent fractions, you need to convert them to decimals and compare their values. You can also use the following methods:
- Simplify the fractions by dividing both the numerator and denominator by their greatest common divisor (GCD).
- Multiply both the numerator and denominator by the same number.
- Divide both the numerator and denominator by the same number.
Q: What is the equivalent fraction of 0.5?
A: The equivalent fractions of 0.5 are 1/2, 2/4, 3/6, and 6/12.
Q: What is the equivalent fraction of 0.7?
A: The equivalent fraction of 0.7 is 7/9.
Q: How do I convert a fraction to a decimal?
A: To convert a fraction to a decimal, you need to divide the numerator by the denominator.
Q: What is the difference between equivalent fractions and similar fractions?
A: Equivalent fractions have the same value, but their numerators and denominators are different. Similar fractions have the same numerator and denominator, but their values are different.
Q: Can equivalent fractions be added or subtracted?
A: Yes, equivalent fractions can be added or subtracted. However, you need to make sure that the fractions have the same denominator before adding or subtracting them.
Q: Can equivalent fractions be multiplied or divided?
A: Yes, equivalent fractions can be multiplied or divided. However, you need to make sure that the fractions have the same denominator before multiplying or dividing them.
Q: What is the importance of equivalent fractions in real-life situations?
A: Equivalent fractions are important in real-life situations because they help us to simplify complex fractions and make calculations easier. They are also used in various fields such as mathematics, science, and engineering.
Conclusion
In conclusion, equivalent fractions are fractions that have the same value, but their numerators and denominators are different. We have answered some frequently asked questions about equivalent fractions and provided examples to help you understand the concept better.
Final Tips
- Make sure to simplify fractions before adding or subtracting them.
- Use equivalent fractions to make calculations easier.
- Practice converting fractions to decimals and vice versa.
- Use equivalent fractions in real-life situations to simplify complex calculations.
Final Answer
The final answer is .