Fractions with Mr Little

Equivalent Fractions

100

1/2 = ?/8

4/8

200

3/4 = 12/?

12/16

300

80/100 = ?/25

16/25

400

19/7 = 57/?

57/21

500

How do we create equivalent fractions?

Multiplying or Dividing the numerator (top number) and denominator (bottom number) by the same whole number to create an equal fraction.

Adding and Subtracting Fractions

100

7/13 - 4/13

(Remember to Simplify)

3/13

200

1/6 + 2/3

(Remember to simplify)

5/6

300

1 1/2 + 3 1/2

5

400

17/5 + 3/5 - 20/5

(Remember to simplify)

0

500

If we are adding or subtracting two fractions that have different denominators, what should do we do first?

Make both fractions have the same denominator creating equivalent fractions.

Multiplying Fractions

100

2/5 x 4/3

(Remember to simplify)

8/15

200

2 x 6/7

(Remember to simplify)

12/7

300

11/4 x 2/3

(Remember to simplify)

11/6 OR 1 5/6

400

TRUE or FALSE?

When we MULTIPLY fractions together, we ONLY multiply the numerators together. Then we simplify the fraction. 

FALSE.

When we MULTIPLY fractions together, we multiply the numerators together and the denominators together. Then we simplify the fraction.

500

15/5 x 25/50

(Remember to simplify)

3/2 OR 1 1/2

Dividing Fractions

100

If half of 1/5 = 1/10 (multiply the denominator by 2),

Then a third of 1/3 = ?

1/9

200

3 divided by 1/2 = ?

(HINT: how many halves make up 3 wholes?)

6

300

Using KCF, 

What is 1/2 divided by 2/3?

3/4

400

When we divide fractions, we use the KCF process. What do K, C & F stand for?

Keep

Change

Flip

500

Using KCF,

What is 12/5 divided by 6/7?

(Remember to simplify)

14/5 OR 2 4/5

Converting Fractions

100

What type of fraction is the following fraction?

13/7

Improper

200

Convert the following improper fraction to a mixed fraction:

7/5

1 2/5

300

Convert the following mixed fraction to an improper fraction:

2 2/7

16/7

400

How do we convert from an improper fraction to a mixed number?

We see how many times the denominator divides into the numerator. This forms our whole part.

The remainders form the numerator of the fractional part. The denominator of the fractional part stays the same as the improper fraction.

E.g. 17/5 = 3 2/5 (as five goes into 17 3 times, with 2 remaining)

500

How do we convert from a mixed fraction to an improper fraction?

Multiply the whole number by the denominator and then add the numerator. 

This makes the the improper fraction's numerator. 

The denominator stays the same.

E.g. 1 1/2 = 3/2 (As 1 x 2 + 1 = 3)