Changing Improper Fractions to Mixed Numbers
These are the parts
of a division equation.
When we say 7 divided by 3…
Changing Improper Fractions to Mixed Numbers
When changing an improper fraction to a mixed number:
1) Divide the numerator by the denominator.
2) Make the quotient into the whole number.
3) Place the remainder over the divisor.
Ex. Change 7/3 into a mixed number
Numerator 7
Denominator 3
7 divided by 3 = 2 with a remainder of 1
2 wholes and 1 third are left over
So, 7/3 = 2 1/3 as a mixed number.
When changing mixed numbers to improper fractions:
1) Multiply the whole number by the denominator.
2) Add the numerator to the product.
3) Write this sum over the denominator.
Ex. Change 2 ¾ into an improper fraction.
3 Numerator
whole # 2 4 Denominator
2 wholes x 4 = 8
8 plus 3 = 11
So, 2 ¾ = 11/4 as an improper fraction.
PRACTICE QUESTIONS
1) Write each improper fraction as a mixed number. Show your work!
a. 7/2 b. 11/4 c. 19/5 d. 23/7
e. 63/8 f. 100/9 g. 13/3 h. 15/6
2) Write each mixed number as an improper fraction. Show your work!
a. 3 ½ b. 2 2/3 c. 3 ¾ d. 5 ¼
e. 2 1/8 f. 4 3/8 g. 8 1/3 h. 6 2/5
3) Reduce all your answers from parts A and B into lowest terms. Show your work!
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