View largerMixed numbers and improper fractions
What mixed numbers and improper fractions are, and how to change one into the other
1 page32 KB
Mixed Numbers and Improper Fractions Worksheets
Mixed numbers and improper fractions: a chart, naming from pictures, converting both ways, number lines, comparing and word problems. With keys.
Download the mixed numbers and improper fractions worksheets
Mixed numbers and improper fractions chart and pictures
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View all 2 pagesName the mixed number
Writing the mixed number and the improper fraction shown by whole and part circles and bars
Answer key on page 2
2 pages37 KB
View all 2 pagesMixed numbers on a number line
Naming points past 1 on a number line as mixed numbers and as improper fractions
Answer key on page 2
2 pages41 KB
Convert, compare and solve
View all 2 pagesImproper fractions to mixed Numbers, sheet A
Changing improper fractions into mixed numbers by finding how many wholes
Answer key on page 2
2 pages40 KB
View all 2 pagesImproper fractions to mixed Numbers, sheet B
Changing improper fractions with denominators to 12 into mixed numbers or whole numbers
Answer key on page 2
2 pages41 KB
View all 2 pagesMixed numbers to improper Fractions, sheet A
Changing mixed numbers into improper fractions: wholes times the denominator, plus the numerator
Answer key on page 2
2 pages39 KB
View all 2 pagesMixed numbers to improper Fractions, sheet B
Changing mixed numbers with larger wholes into improper fractions
Answer key on page 2
2 pages40 KB
View all 2 pagesCompare mixed numbers
Comparing a mixed number with an improper fraction with the same denominator
Answer key on page 2
2 pages37 KB
View all 2 pagesMixed numbers word problems
Solving word problems by changing between mixed numbers and improper fractions
Answer key on page 2
2 pages42 KB
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About these mixed numbers and improper fractions worksheets
A mixed number has a whole number and a fraction, like 2 3/4. An improper fraction has a numerator that is as big as or bigger than its denominator, like 11/4. They can name the same amount: 2 wholes and 3 fourths is 11 fourths.
To change an improper fraction to a mixed number, divide: 11 ÷ 4 = 2 remainder 3, so 11/4 = 2 3/4. To change a mixed number to an improper fraction, multiply the whole by the denominator and add the numerator: 2 × 4 + 3 = 11, so 2 3/4 = 11/4.
These worksheets begin with pictures of whole and part circles and bars, then number lines, then converting both ways, comparing the two forms and word problems. Every practice page has an answer key on page 2.
Standards
CCSS.MATH.CONTENT.4.NF.B.3Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
How to use them
- Teach from the Mixed Numbers and Improper Fractions chart.
- Use Name the Mixed Number so children see both forms in one picture.
- Practice converting with the A sheets, then the B sheets with larger numbers.
- Use Compare Mixed Numbers and the word problems to finish.
Teaching tips
- Ask: how many wholes can you make, and how many parts are left over?
- Point out that 8/4 is a whole number, 2, with no fraction left.
- Count by the denominator to check: 4, 8, then 3 more makes 11 fourths.
Questions teachers and parents ask
What is an improper fraction?
A fraction whose numerator is equal to or greater than its denominator, like 7/4 or 5/5. It is 1 or more.
How do you turn an improper fraction into a mixed number?
Divide the numerator by the denominator. The quotient is the whole number and the remainder is the new numerator: 17/5 = 3 2/5.