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Common Core Standards
Divide Fractions
Grade:
6th Grade
Standard:
CC.2.1.6.E.1
Description:
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Standard:
M06.A-N.1.1.1
Description:
Interpret and compute quotients of fractions (including mixed numbers), and solve word problems involving division of fractions by fractions.
Standard:
Math.6.NS.1 or 6.NS.A.1
Description:
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.
For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
Start Practicing!
6th Grade Math - Divide Fractions Lesson
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The formula below can be used to divide a fraction by a fraction.
a
b
÷
c
d
=
a
×
d
b
×
c
Example:
Use the formula from the box above to find the quotient.
In this case,
a
= 3,
b
= 4,
c
= 3, and
d
= 9.
Substitute the numbers into the formula to find the quotient.
a
×
d
b
×
c
=
3
×
9
4
×
3
=
27
12
=
9
4
So,
3
4
÷
3
9
=
9
4
.
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