Fractions Chapter 3 Quiz

Questions and Answers

What is the mixed number representation of 183 when divided by 7?

26 1/7 (correct)

27 1/6

27 1/7

26 1/6

What is the correct process to convert a fraction to its lowest terms?

Multiply the numerator and denominator by the same number.

Add the numerator and denominator together.

Subtract the numerator from the denominator.

Divide the numerator and denominator by their greatest common factor. (correct)

What is the mixed number representation of 68 when divided by 10?

6 8/10

6 4/5 (correct)

7 6/10

7 8/10

What is the GCF of 140 and 24 when reducing the fraction?

4 Signup and view all the answers

If a mixed number is represented as 6 2/15, what is the improper fraction equivalent?

92/15 Signup and view all the answers

What fraction is equivalent to 0.5?

1/2 Signup and view all the answers

When reducing the fraction 246/48, what is the reduced form?

41/8 Signup and view all the answers

What is the remainder when 92 is divided by 15?

2 Signup and view all the answers

What is the result of dividing a number by itself?

The result is 1. Signup and view all the answers

What is the proper procedure for changing the mixed number 4 2/9 to an improper fraction?

Multiply 9 by 4 and add 2. Signup and view all the answers

When dividing the numerator of an improper fraction by its denominator, what does the quotient represent?

The whole number of the mixed number. Signup and view all the answers

What is the first step to convert the improper fraction 35/4 to a mixed number?

Divide the numerator by the denominator. Signup and view all the answers

What will the numerator of the mixed number be when converting the improper fraction 35/4?

3 Signup and view all the answers

If a fraction has a numerator of 28 and a denominator of 28, what is the fraction equal to?

1 Signup and view all the answers

What is a proper fraction?

A fraction where the numerator is less than the denominator Signup and view all the answers

To convert the mixed number 5 8/31 to an improper fraction, what is the last step?

Write the sum of the product and numerator over the same denominator. Signup and view all the answers

What happens to the denominator when converting the mixed number 2 16/23 to an improper fraction?

It remains the same as in the mixed number. Signup and view all the answers

Which of the following is an example of an improper fraction?

$\frac{7}{5}$ Signup and view all the answers

How is a mixed number defined?

A whole number combined with a proper fraction Signup and view all the answers

What fraction represents the part of animals that are goats if there are 25 animals and 14 are cows?

$\frac{11}{25}$ Signup and view all the answers

Which of the following statements about fractions is true?

Fractions can represent a part of a whole. Signup and view all the answers

Which of the following is a proper fraction?

$\frac{5}{9}$ Signup and view all the answers

When converting the mixed number $3 \frac{1}{4}$ to an improper fraction, what do you get?

$\frac{13}{4}$ Signup and view all the answers

What results from reducing the fraction $\frac{18}{24}$ to its lowest terms?

$\frac{3}{4}$ Signup and view all the answers

Study Notes

Types of Fractions

Fractions represent a part of a whole, expressed as a/b where a and b are integers, and b ≠ 0.
Proper fractions have numerators less than denominators (e.g., 5/7).
Improper fractions have numerators greater than denominators (e.g., 9/4).
Mixed numbers combine a whole number and a proper fraction (e.g., 2 4/5).

Changing Mixed Numbers to Improper Fractions

To convert a mixed number to an improper fraction:
- Multiply the whole number by the denominator.
- Add the numerator to this product.
- The result is the new numerator, with the same denominator.
Example: Convert 4 2/9 to an improper fraction:
- 4 x 9 = 36; 36 + 2 = 38; Result: 38/9.

Changing Improper Fractions to Mixed Numbers

To convert an improper fraction to a mixed number:
- Divide the numerator by the denominator.
- The quotient becomes the whole number.
- The remainder is the new numerator.
- Copy the denominator.
Example: Convert 35/4 to a mixed number:
- 35 ÷ 4 = 8 remainder 3; Result: 8 3/4.

Reducing Fractions to Lowest Terms

Equivalent fractions have the same value but different forms (e.g., 8/16 = 1/2).
To reduce fractions, find the GCF (Greatest Common Factor) of the numerator and denominator and divide both by it.
Example: Reduce 64/18.
- 64 = 2^6; 18 = 2 x 3^2; GCF = 2.
- Result: 64 ÷ 2 = 32, 18 ÷ 2 = 9; Final fraction = 32/9.

Target Skills

Perform operations on integers and apply rules on signed numbers in word problems.
Define prime, composite, factors, and multiples with examples.
List the prime factors of an integer.
Find the GCF and LCM of two or more integers.

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Description

This quiz covers Chapter 3 on fractions, focusing on various types of fractions including proper, improper, and mixed numbers. It will test your ability to convert between mixed numbers and improper fractions, as well as your skills in reducing fractions to their lowest terms. Prepare to enhance your understanding of fractions through practical problems and examples.