You may recall the example below from a previous lesson.
Example 1
In example 1, we used circles to help us solve the problem. Now look at the next example.
Example 2: At a birthday party, there are 19 cupcakes to be shared equally among 11 guests. What part of the cupcakes will each guest get?
ConvertingFractions(A)Answers Name: Date: Converteachimproperfractiontoamixedfraction. 32 9 = 3 5 9 67 12 = 5 7 12 116 15 = 7 11 15 34 15 = 2 4 15 25 12 = 2 1 12 41 6. Words to Numbers Converter. Please link to this page! Just right click on the above image, choose copy link address, then past it in your HTML. References: 1 How to Write a Check With Cents 2 Write Checks Without Cents Correctly. Grade 4 Fractions Worksheet Convert. Convert improper fractions to mixed numbers math practice printable elementary. ConvertingFractions(A)Answers Name: Date: Converteachmixedfractiontoanimproperfraction. 91 9 = 82 9 3 8 9 = 35 9 87 12 = 103 12 77 9 = 70 9 311 15 = 56 15 32 5 = 17 5. How to convert fraction to percent. For example, in order to get a decimal fraction, 3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25.
Analysis: We need to divide 19 cupcakes by 11 equal parts. It would be time-consuming to use circles or other shapes to help us solve this problem. Therefore, we need an arithmetic method.
Step 1: Look at the fraction nineteen-elevenths below. Recall that the fraction bar means to divide the numerator by the denominator. This is shown in step 2.
Whole Numbers To Fractions Converter
Step 2:
Step 3:
Solution:
Example 3:
Step 1:
Step 2:
Answer
Analysis: We need to divide 37 into 10 equal parts.
Step 1:
Step 2:
Answer:
Example 5:
Analysis: We need to divide 37 into 13 equal parts.
Step 1:
Step 2:
Answer:
In each of the examples above, we converted a fraction to a mixed number through long division of its numerator and denominator. Look at example 6 below. What is wrong with this problem?
Example 6:
Analysis: In the fraction seven-eighths, the numerator is less than the denominator. Therefore, seven-eighths is a proper fraction less than 1. We know from a previous lesson that a mixed number is greater than 1.
How to view camera on mac. Answer: Seven-eighths cannot be written as a mixed number because it is a proper fraction.
Example 7: Can these fractions be written as mixed numbers? Explain why or why not.
Analysis: In each fraction above, the numerator is equal to the denominator. Therefore, each of these fractions is an improper fraction equal to 1. But a mixed number is greater than 1.
Answer: These fractions cannot be written as mixed numbers since each is an improper fraction equal to 1.
After reading examples 6 and 7, you may be wondering: Which types of fractions can be written as mixed numbers? To answer this question, let's review an important chart from a previous lesson.
Comparison of numerator and denominator: If the numerator < denominator, then the fraction < 1
Example:
Type of Fraction: proper fraction
Write As: proper fraction Date format creator 1 2 – date format creator online.
Comparison of numerator and denominator: If the numerator = denominator, then the fraction = 1.
Example:
Type of Fraction: improper fraction
Write As: whole number
Remote desktop manager enterprise 4 5 2 0 download free. Comparison of numerator and denominator: If the numerator > denominator, then the fraction > 1.
Example:
Type of Fraction: improper fraction
Write As: mixed number
Analysis: We need to divide 19 cupcakes by 11 equal parts. It would be time-consuming to use circles or other shapes to help us solve this problem. Therefore, we need an arithmetic method.
Step 1: Look at the fraction nineteen-elevenths below. Recall that the fraction bar means to divide the numerator by the denominator. This is shown in step 2.
Whole Numbers To Fractions Converter
Step 2:
Step 3:
Solution:
Example 3:
Step 1:
Step 2:
Answer
Analysis: We need to divide 37 into 10 equal parts.
Step 1:
Step 2:
Answer:
Example 5:
Analysis: We need to divide 37 into 13 equal parts.
Step 1:
Step 2:
Answer:
In each of the examples above, we converted a fraction to a mixed number through long division of its numerator and denominator. Look at example 6 below. What is wrong with this problem?
Example 6:
Analysis: In the fraction seven-eighths, the numerator is less than the denominator. Therefore, seven-eighths is a proper fraction less than 1. We know from a previous lesson that a mixed number is greater than 1.
How to view camera on mac. Answer: Seven-eighths cannot be written as a mixed number because it is a proper fraction.
Example 7: Can these fractions be written as mixed numbers? Explain why or why not.
Analysis: In each fraction above, the numerator is equal to the denominator. Therefore, each of these fractions is an improper fraction equal to 1. But a mixed number is greater than 1.
Answer: These fractions cannot be written as mixed numbers since each is an improper fraction equal to 1.
After reading examples 6 and 7, you may be wondering: Which types of fractions can be written as mixed numbers? To answer this question, let's review an important chart from a previous lesson.
Comparison of numerator and denominator: If the numerator < denominator, then the fraction < 1
Example:
Type of Fraction: proper fraction
Write As: proper fraction Date format creator 1 2 – date format creator online.
Comparison of numerator and denominator: If the numerator = denominator, then the fraction = 1.
Example:
Type of Fraction: improper fraction
Write As: whole number
Remote desktop manager enterprise 4 5 2 0 download free. Comparison of numerator and denominator: If the numerator > denominator, then the fraction > 1.
Example:
Type of Fraction: improper fraction
Write As: mixed number
The answer to the question is: Only an improper fraction greater than 1 can be written to a mixed number.
Fraction Converter
Summary: We can convert an improper fraction greater than one to a mixed number through long division of its numerator and denominator.
Exercises
In Exercises 1 through 5, click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. Note: To write the mixed number four and two-thirds, enter 4, a space, and then 2/3 into the form.
1. | Write eleven-fifths as a mixed number. |
2. | Write eleven-fourths as a mixed number. |
3. | Write thirteen-ninths as a mixed number. |
4. | On field day, there are 23 pies to share equally among 7 classes. What part of the pies will each class get? |
5. | A teacher gives her class a spelling test worth 35 points. If there are 8 words graded equally, then how many points is each word worth? |