Get started for free
Log In Start studying!
Get started for free Log out
Chapter 3: Problem 26
Convert to fraction notation. $$ 5 \frac{7}{100} $$
Short Answer
Expert verified
The improper fraction is \( \frac{507}{100} \).
Step by step solution
01
Identify the Mixed Number
Identify the whole number and the fractional part of the mixed number. Here, the whole number is 5 and the fractional part is \( \frac{7}{100} \).
02
Convert the Mixed Number to an Improper Fraction
To convert a mixed number to an improper fraction, use the formula: \[ \text{Improper Fraction} = (\text{Whole Number} \times \text{Denominator}) + \text{Numerator} \text{ all over the Denominator} \]. So, in this case: \[ (\text{5} \times \text{100}) + \text{7} = 507 \] therefore,\[ 5 \frac{7}{100} = \frac{507}{100} \]
Key Concepts
These are the key concepts you need to understand to accurately answer the question.
fraction notation
Fraction notation is a way of representing numbers that are not whole. It consists of two parts: the numerator and the denominator. The numerator is the top number and represents how many parts we have. The denominator is the bottom number and indicates how many parts make up a whole. For instance, in the fraction \( \frac{7}{100} \), 7 is the numerator and 100 is the denominator. This means out of 100 equal parts, we have 7.
Understanding fractions is essential as they are used in various real-life situations such as cooking, measurements, and even managing finances. Mastering fraction notation can help simplify these tasks.
mixed number conversion
Mixed numbers combine a whole number with a fraction. For example, \( 5 \frac{7}{100} \) includes the whole number 5 and the fraction \( \frac{7}{100} \). Converting a mixed number to an improper fraction involves a few clear steps:
- First, identify the whole number and the fractional part of the mixed number.
- Second, multiply the whole number by the denominator of the fraction.
- Then, add the numerator of the fraction to this product.
All of these are then placed over the original denominator. For instance, with \( 5 \frac{7}{100} \):
\( 5 \times 100 = 500 \) and adding the numerator gives us:
\( 500 + 7 = 507 \).
So, \( 5 \frac{7}{100} \) converts to \( \frac{507}{100} \). This conversion helps in performing easier mathematical operations and in comparing sizes.
improper fraction
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. This means the value is either equal to or greater than one. For example, \( \frac{507}{100} \) is an improper fraction because 507 is larger than 100.
Improper fractions are useful in mathematics because they can simplify addition, subtraction, multiplication, and division. They can be converted back to mixed numbers to easily understand their value relative to 1. For example, \( \frac{507}{100} \) can be converted back to \( 5 \frac{7}{100} \). This makes it clear that we have a little more than 5 whole parts.
Mastery of improper fractions helps enhance problem-solving skills and makes complex mathematical equations more manageable.
One App. One Place for Learning.
All the tools & learning materials you need for study success - in one app.
Get started for free
Most popular questions from this chapter
Recommended explanations on Math Textbooks
Theoretical and Mathematical Physics
Read ExplanationApplied Mathematics
Read ExplanationPure Maths
Read ExplanationDecision Maths
Read ExplanationStatistics
Read ExplanationMechanics Maths
Read ExplanationWhat do you think about this solution?
We value your feedback to improve our textbook solutions.
Study anywhere. Anytime. Across all devices.
Sign-up for free
This website uses cookies to improve your experience. We'll assume you're ok with this, but you can opt-out if you wish. Accept
Privacy & Cookies Policy
Privacy Overview
This website uses cookies to improve your experience while you navigate through the website. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. We also use third-party cookies that help us analyze and understand how you use this website. These cookies will be stored in your browser only with your consent. You also have the option to opt-out of these cookies. But opting out of some of these cookies may affect your browsing experience.
Always Enabled
Necessary cookies are absolutely essential for the website to function properly. This category only includes cookies that ensures basic functionalities and security features of the website. These cookies do not store any personal information.
Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. It is mandatory to procure user consent prior to running these cookies on your website.