Dividing Fractions Basics pt. 1
How many groups of 3/4 are in 4 1/2?
6
What is the definition of the word quotient
A quotient is the result of dividing two numbers
1/2 ÷ 5/3
3/10
1 2/3 ÷ 1/5
1/3
If you are dividing a whole number by a fraction you must first do what to the whole number?
Put a 1 underneath it to make it a fraction.
Is the value of 8 divided by 1/12
greater than 1
less than 1
equal to 1
greater than 1
True or False
When you multiply two numbers, the result will always be greater than both numbers.
Show how you know
False
1 x 1 = 1
3/4 ÷ 2/5
15/8
or
1 7/8
3 4/5÷ 1/3
57/5
or
11 2/5
What is the first step to dividing fractions, when one of the fractions is a mixed number?
Turn the mixed number into an improper fraction
2 bags of soil fill 1/3 of a garden. Write an equation to represent this situation
2 divided by 1/3 = ?
Dividing by a fraction is the same as __________ by a __________ _________
multiplying by a whole number
4/7 ÷ 2/3
12/14
6/7
1/6 ÷ 3 2/3
22
When dividing fractions, what do you do when you have uncommon denominators?
Find a common denominator
2/3 cups of chocolate chips fill 1/4 of a jar. How many cups fill 2 jars?
16/3 or 5 1/3 cups
When is it appropriate to use the "Keep, Change, Flip" trick?
When solving a dividing fractions problem
5/9 ÷ 1/2
Answer must be written as a mixed number
1 1/9
5 1/4 ÷ 6 4/5
Use a calculator!
105/136
When dividing fractions, how do you solve once you get a common denominator?
Divide straight across.
Divide the numerator by the numerator and the denominator by the denominator
What fraction of the box of mix did she use?
3/24 or 1/8 of the box
In your own words, explain the process of "Keep, Change, Flip"
Keep - Don't change the first fraction
Change - Turn the division sign into a multiplication sign
Flip - Flip the 2nd fraction so that the numerator becomes the denominator, and the denominator becomes the numerator.
3/4 ÷ 4/3
9/16
5 1/4÷ 1/4
21
Turn 5 1/4 into an improper fraction. Show your work.
21/4