What Fraction With A Denominator Of 100 Is Equivalent To { \frac{90}{100}$} ? E N T E R Y O U R A N S W E R B Y F I L L I N G I N T H E B O X E S . ?Enter Your Answer By Filling In The Boxes. ? E N T Eryo U R An S W Er B Y F I Ll In G In T H E B O X Es . { \frac{\square}{100}\$}
Introduction
When dealing with fractions, it's often necessary to find equivalent fractions that have the same value but different denominators. In this case, we're looking for a fraction with a denominator of 100 that is equivalent to {\frac{90}{100}$}$. To find this equivalent fraction, we need to understand the concept of equivalent fractions and how to convert between them.
Understanding Equivalent Fractions
Equivalent fractions are fractions that have the same value but different denominators. For example, {\frac{1}{2}$] and [$\frac{2}{4}$] are equivalent fractions because they have the same value, but different denominators. To find equivalent fractions, we can multiply or divide both the numerator and denominator by the same number.
Finding the Equivalent Fraction
To find the equivalent fraction with a denominator of 100, we can start by looking at the given fraction [\frac{90}{100}\$}. We can see that the denominator is already 100, so we don't need to do any conversion. However, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
Simplifying the Fraction
To simplify the fraction, we need to find the GCD of 90 and 100. The GCD of 90 and 100 is 10. We can divide both the numerator and denominator by 10 to get:
{\frac{90}{100} = \frac{90 ÷ 10}{100 ÷ 10} = \frac{9}{10}$]
Conclusion
In conclusion, the fraction with a denominator of 100 that is equivalent to [\frac{90}{100}\$} is [\frac{9}{10}$].
Final Answer
The final answer is [$\frac{90}{100}$].
Discussion
- What is the concept of equivalent fractions?
- How do you find equivalent fractions?
- What is the GCD of 90 and 100?
- How do you simplify a fraction?
Related Topics
- Equivalent fractions
- Simplifying fractions
- Greatest common divisor (GCD)
References
Additional Resources
Introduction
Equivalent fractions are a fundamental concept in mathematics that can be a bit tricky to understand at first. However, with practice and patience, you can become proficient in finding equivalent fractions. In this article, we'll answer some frequently asked questions about equivalent fractions to help you better understand this concept.
Q: What is an equivalent fraction?
A: An equivalent fraction is a fraction that has the same value as another fraction, but with different denominators. For example, [\frac{2}{4}$] are equivalent fractions because they have the same value, but different denominators.
Q: How do I find equivalent fractions?
A: To find equivalent fractions, you can multiply or divide both the numerator and denominator by the same number. For example, to find an equivalent fraction of [\frac{2}{4}$].
Q: What is the greatest common divisor (GCD)?
A: The greatest common divisor (GCD) is the largest number that divides both the numerator and denominator of a fraction without leaving a remainder. For example, the GCD of 90 and 100 is 10.
Q: How do I simplify a fraction?
A: To simplify a fraction, you need to find the GCD of the numerator and denominator and divide both numbers by the GCD. For example, to simplify [\frac{9}{10}$].
Q: What is the difference between equivalent fractions and similar fractions?
A: Equivalent fractions have the same value, but different denominators. Similar fractions have the same denominator, but different numerators. For example, [\frac{2}{4}$] are equivalent fractions, while [\frac{3}{2}$] are similar fractions.
Q: Can I have a fraction with a denominator of 100 that is equivalent to [$\frac{90}{100}$]?
A: Yes, the fraction with a denominator of 100 that is equivalent to [\frac{90}{100}$] itself, since the denominator is already 100. However, we can simplify the fraction by dividing both the numerator and denominator by their GCD, which is 10. The simplified fraction is [$\frac{9}{10}$].
Q: How do I find the equivalent fraction of a mixed number?
A: To find the equivalent fraction of a mixed number, you need to convert the mixed number to an improper fraction first. Then, you can find the equivalent fraction by multiplying or dividing both the numerator and denominator by the same number.
Q: Can I have a list of equivalent fractions for a given fraction?
A: Yes, you can have a list of equivalent fractions for a given fraction by multiplying or dividing both the numerator and denominator by different numbers. For example, the equivalent fractions of [\frac{2}{4}$], [\frac{4}{8}$], and so on.
Q: How do I use equivalent fractions in real-life situations?
A: Equivalent fractions are used in many real-life situations, such as cooking, measuring ingredients, and calculating proportions. For example, if a recipe calls for [\frac{2}{4}$] cup of sugar as an equivalent fraction.
Conclusion
In conclusion, equivalent fractions are an essential concept in mathematics that can be used in many real-life situations. By understanding how to find equivalent fractions, you can become proficient in solving problems that involve fractions. We hope that this article has helped you better understand equivalent fractions and how to use them in real-life situations.
Final Answer
The final answer is [$\frac{90}{100}$].
Discussion
- What is the concept of equivalent fractions?
- How do you find equivalent fractions?
- What is the GCD of 90 and 100?
- How do you simplify a fraction?
Related Topics
- Equivalent fractions
- Simplifying fractions
- Greatest common divisor (GCD)