Mixed Numbers and Improper Fractions
Converting between whole-number fractions and mixed numbers
Mixed Numbers and Improper Fractions
Converting between whole-number fractions and mixed numbers
Math - Grade 4-5
- 1
Write the improper fraction for the mixed number 2 1/3.
Multiply the whole number by the denominator, then add the numerator.
The improper fraction for 2 1/3 is 7/3. Two wholes equal 6/3, and 6/3 + 1/3 = 7/3. - 2
Write the mixed number for the improper fraction 9/4.
The mixed number for 9/4 is 2 1/4. Four goes into nine two times with one left over. - 3
Change 3 2/5 into an improper fraction.
First turn the whole number into fifths.
The improper fraction for 3 2/5 is 17/5. Three wholes equal 15/5, and 15/5 + 2/5 = 17/5. - 4
Change 11/6 into a mixed number.
The mixed number for 11/6 is 1 5/6. Six goes into eleven one time with five left over. - 5
Write the improper fraction for 4 3/8.
Multiply 4 by 8, then add 3.
The improper fraction for 4 3/8 is 35/8. Four wholes equal 32/8, and 32/8 + 3/8 = 35/8. - 6
Write the mixed number for 13/5.
The mixed number for 13/5 is 2 3/5. Five goes into thirteen two times with three left over. - 7
Which is greater: 7/3 or 2 1/4?
Turn 7/3 into a mixed number first.
The fraction 7/3 is greater. It equals 2 1/3, and 2 1/3 is greater than 2 1/4. - 8
Draw or imagine fraction bars. Is 8/8 a mixed number, an improper fraction, or both?
The fraction 8/8 is an improper fraction because the numerator is equal to the denominator. It is equal to 1 whole. - 9
Change 5 4/7 into an improper fraction.
Find how many sevenths are in 5 wholes.
The improper fraction for 5 4/7 is 39/7. Five wholes equal 35/7, and 35/7 + 4/7 = 39/7. - 10
Change 17/4 into a mixed number.
The mixed number for 17/4 is 4 1/4. Four goes into seventeen four times with one left over. - 11
A baker used 2 1/2 cups of flour. Write this amount as an improper fraction.
Change the 2 wholes into halves.
The improper fraction for 2 1/2 is 5/2. Two wholes equal 4/2, and 4/2 + 1/2 = 5/2. - 12
Lena ran 15/6 miles. Write this distance as a mixed number.
The mixed number for 15/6 is 2 3/6, which is also 2 1/2 when simplified. Six goes into fifteen two times with three left over. - 13
Explain how to change a mixed number into an improper fraction.
Think about turning the whole number into equal fractional parts.
To change a mixed number into an improper fraction, multiply the whole number by the denominator and add the numerator. Then write that sum over the same denominator. - 14
Explain how to change an improper fraction into a mixed number.
To change an improper fraction into a mixed number, divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator, and the denominator stays the same. - 15
Write a mixed number that is equal to 14/3.
Use division to find the whole number part.
A mixed number equal to 14/3 is 4 2/3. Three goes into fourteen four times with two left over.