Day 28 – Multiplying mixed number fractions by whole numbers

Success Criteria

I know what an improper fraction is

I know what a mixed number fraction is

I can multiply mixed number fractions by whole

numbers

DNA Write all the prime numbers between 0 and 100

ChallengeMultiply together the 1st 10 prime numbers

Retrieval practice

How many degrees are on a straight line?

How do you find the perimeter of a 2D

shape?

What is the lowest common multiple of 8

and 7?

What is the product of 5 and 7?

What type of angle is 18 degrees and why?

What is the difference between 230cm and

1km?

1 HP

2 HPs

3 HPs

Retrieval practice

How many degrees are on a straight line? 180

degrees

How do you find the perimeter of a 2D shape? Total up all of the outside

lengths of the shape

What is the lowest common multiple of 8

and 7? 56

What is the product of 5 and 7? 35

What type of angle is 18 degrees and why? Acute

as it is less than 90 degrees

What is the difference between 230cm and

1km? 770cm

1 HP

2 HPs

3 HPs

Explain what mistakes people could make doing this and how we could avoid them

Daily practice

1 to 10 times table for 19…

Daily practice

Write the definitions for the words we will come across today – can you think of an example question for the word?

Word Definition Example

Obtuse angle

Reflex angle

Acute angle

Mixed number fraction Whole number

A mixed number has a whole number and a proper fraction which are joined together.

A whole number is another name for an integer. It is not a decimal number.

Multiplying mixed number fractions by whole numbers

Question one

• We know that 4 can be written as this.

=

x =

Convert this into an improper fraction

=My method

(4 x 3) + 2

3=

Can be written as

Hint: Every number is over 1.

The above calculation can be written like the one below this.

x =

x =By writing it this way, it is easy to multiply the numerators and multiply the denominators.

• This fraction is an improper fraction.

• Well, they are all improper fractions!

x = 56

3

Hint: Multiply the numerators and multiply the denominators.

• How many times does 3 fit in 56?

56

3

3 x 0 = 33 x 1 = 33 x 2 = 6 3 x 3 = 93 x 4 = 123 x 5 = 153 x 6 = 183 x 7 = 213 x 8 = 243 x 9 = 273 x 10 = 303 x 11 = 333 x 12 = 363 x 13 = 393 x 14 = 423 x 15 = 453 x 16 = 483 x 17 = 513 x 18 = 543 x 19 = 57

3=18• We have agreed that 3 goes

into 56, 18 times hence we are showing it as a big/whole number.

• Remember that we keep the denominator the same.

• Now we have to multiply 18 by 3 and see how much more we need to add on to get to 56.

• Let’s look at the factors of 2 and 3 (from the proper fraction)?

• 2 has 1 and 2

• 3 has 1 and 3

• 1 is the greatest common factor, but there is not any need in dividing the numerator and the denominator by 1 as our answer will remain the same.

56

3 3=18 2

Try these questions

Mark your answers

Try these questions

Mark your answers

Try these questions

Mark your answers

Exit ticket

What went well today?

What errors did you make or avoid today?

What do you feel this lesson has made you want to learn about next?

Remember to set aside 30 minutes each day to log into TTRockstars to practice your times tables.

Be sure to keep your eye out for tournaments and battles with your classmates and us, teachers.

We look forward to challenging you!

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