_MATHEMATICS 6 WEEK 3 QUARTER 1 Divides Simple Fractions and Mixed .pptx

Divides Simple Fractions and
Mixed
MATHEMATICS 6
WEEK 3 QUARTER
1

MATHEMATICS 6 QUARTER 1
After going through this lesson, you are
expected to divide simple fractions and
mixed fractions.

In dividing fraction is simply multiplying the
first fraction by the reciprocal of the
second fraction or number.
The reciprocal of a fraction is found by
flipping its numerator and denominator.

Make it sure that the dividend and the
divisor is always written in its fractional form.
Simplify or write your answer in lowest term
through cancellation method

Example 1. Find the quotient of 8
9
2
3
Change the division sign
to multiplication and get
the reciprocal of the
divisor only

9
2
3
Apply cancellation

9
2
3
Multiply the
numerators and then
denominators

Learning Task 1:
Find the quotient of the given fractions
below. Write your solution in your
notebook

Learning Task 1:

In dividing mixed number by another mixed
number, we have to consider the following
steps. First, change mixed numbers to
improper fractions. Second, get the
reciprocal of the divisor and change the
division sign to multiplication.

Third, multiply the numerators and
denominators separately. And finally, change
improper fraction into a mixed number.

• Change mixed numbers to
improper fractions.
• Change division sign to
multiplication and get the
reciprocal of the divisor.
• Multiply the numerators and
denominators. Change
improperfraction into a mixed
number

Learning Task 2:
notebook.

Learning Task
2:

Learning Task 3:
notebook.

Learning Task
3:
• A cook has 2
3
4
pounds of ground beef.
burgers can he make?
How many quarter- pound

Learning Task
3:
2. A child needs to take
1
6
tablespoons of medicine
per day in 4equal doses. How much medicine is in each
dose?

Learning Task
3:
2. How many
5
6
cup salt shakers can be filled from 24
cups of salt?

Learning Task 4:
Read each statement and in your
notebook, write the word TRUE if the
statement is correct, and if the
statement is wrong, write the word/s that
makes the statement incorrect in your
notebook.

1. The denominator of any whole number is 1.
2. To find the reciprocal of a fraction, simply
interchange the numeratorand the denominator
of the given fraction.
3. There is no need to change the division sign into
multiplication sign if you are going to divide
fraction by another fraction.
Learning Task
4:

4. There is always a need to write answers in
simplest form.
5. In dividing fractions, you’ll need to get the
reciprocal of the given divisor before you
multiply the numerators and the denominators.
Learning Task
4:

Learning Task
4:
6. The reciprocal of 8
1
4
is
8
4
7. The product of
3
4
and another fractions is
5
4
The other fraction
3
5

Learning Task
4:
1
6
8. One half pizza will be divide among 3 pupils. Each pupil
receives

Solves Routine or Non-routine
Problems Involving Division of
Fractions Using Appropriate
Problem Solving Strategies and
Tools
MATHEMATICS 6
WEEK 3 QUARTER
1

After going through this lesson, you
are expected to solve routine or non-
routine problems involving division
without or with any of the other
operations of fractions and mixed
fractions using appropriate problem
solving strategies and tools

To check if division is the operation
involved in solving a problem, you need to
know the following terms: quotient,
divided by, cut, average, split into .

Learning Task 1:
Translate each of the following problem.
Write your answer in your notebook.

Learning Task
1:
3
4
1. The quotient of 9 and
5
8
2. 15 divide by
1
3
23
18 3. 12 split into 4
1
2

Learning Task
1:
1
3
1. The quotient of 3 2
1
5
2. 5. The quantity six times 3 over 2
1
2

Learning Task 2:
Solve the given problems. Write your
answer in your notebook

Learning Task
2:
1. Mario has 12 boxes of pizza. He cut each pizza into eights.
How many pieces of pizza will there be?

Learning Task
2:
2. Tony had 5
1
2
kilograms of sugar.
How many cakes can he bake if he will use
1
4
kilogram of sugar per cake?

Learning Task
2:
3. What is the average 2 and ? 3
1
3
4
5
1
2
4. Jay will put mg of salt in each plastic.
How many plastics will he need for 14 mg of salt?

Learning Task 3:
Solve the following problems. Write your
answer in your notebook.

Learning Task
3:
1. 1. How many one-fifths are there in 17
1
2
2. How many cm can be cut from a 20 cm
piece of ribbon?
2
3

Learning Task
3:
3. A glass can hold liters of juice. How many glasses
can 13
1
5
3
5
liters of juice be poured into it?

Learning Task
3:
4.A tailor uses 2 yards of cloth for a t-shirt. If he has 20 yards
of cloth, how many t-shirts can he make?
1
2

Learning Task 4:
Read the statement below. On your
notebook write AGREE If you can do it,
DISAGREE if you cannot do it or MORE if
you need assistance in doing it

Learning Task
4:
1. I can easily identified the given in a problem.
2. I can determine what is asked in the problem
easily.
3. I can now easily check whether the operation to
be used is division or not because of the phrases and
hints I’ve learned.
4. I can now easily solve the number sentence
involving division of fractions.

Learning Task
4:
5. I can easily write the label or units of my answer
correctly.
6. I can easily answer or solve any routine problems
about division of fractions.
7. I can answer or solve non-routine problems
about division of fractions easily.

Learning Task
4:
8. I can solve the problem on division of fraction without
help.
9. If needed, I can write my answer in lowest term
correctly.

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