Word Problems with Fractions!

Simplifying Fractions

100

12/36

Reduce me to simplest form!

1/3

200

48/60

Reduce me to simplest form!

4/5

300

If both numbers of a fraction are EVEN, you can divide by ___ to reduce the fraction!

2!!!

400

What are the 4 rules we can use to determine whether or not a fraction is in simplest form?

(Hint: A, B, C, & D!)

A) If the numerator is a "1!"

B) If the denominator is PRIME!

C) If the numbers are next to each other on a number line!

D) If the ONLY common factor between the two numbers is a "1!"

500

If a number ends in a "5," it is divisible by ___!

If a number ends in a "0," it is divisible by ___, and also ____!

5

10, 5

Equivalent Fractions

100

What is an equivalent fraction for:

2/3

4/6 (x2)

6/9 (x3)

8/12 (x4)

10/15 (x5)

200

What is an equivalent fraction for 72/60?

6/5

300

Is 3/8 equal to 6/16?

Yes! 

6/16 can be reduced to 3/8 by dividing by 2! They're EQUIVALENT fractions!

400

What is an equivalent fraction for 4/10!

8/20 (x2)

12/30 (x3)

16/40 (x4)

20/50 (x5)

500

Does 8/8 = 3/3? 

Yes! 

8/8 = 1

3/3 = 1

1 = 1 

Dividing Fractions

100

What is 1/2 divided by 2/3?

1/2 divided by 2/3

1/2 x 3/2 = 3/4

200

What is 4/5 divided by 6/10?

4/5 divided by 6/10

4/5 x 10/6 = 40/30 = 4/3 = 1 1/3

300

What is 6 1/4 divided by 1 2/3?

6 1/4 divided by 1 2/3

25/4 divided by 5/3

25/4 x 3/5 = 75/20 = 3 15/20 = 3 3/4

400

What is 4 divided by 2/7?

4/1 divided by 2/7

4/1 x 7/2 = 28/2 = 14

500

What is 5/9 divided by 3/7?

5/9 divided by 3/7

5/9 x 7/3 = 35/27 = 1 8/27

Multiplying Fractions

100

What is 9 x 5/6?

(Don't forget to turn improper fractions into mixed numbers!! You can do this by dividing the numerator by the denominator!)

9/1 x 5/6 = 45/6

45 divided by 6

= 7 3/6 

= 7 1/2

200

What is 1/8 x 4?

1/8 x 4/1 = 4/8 = 1/2

300

What is 3/8 x 1/6?

3/8 x 1/6 = 3/48 = 1/16

400

What is 10/12 x 3/5?

10/12 x 3/5 = 30/60 = 1/2

500

What is 3/4 x 12?

3/4 x 12/1 = 36/4 = 9/1 = 9

Fractions & Decimals

100

What is 0.75 as a fraction?

75/100

= 3/4

200

What is a non-terminating or repeating decimal?

A decimal where a digit repeats! We write the decimal with a "bar" over the part that repeats!

Ex. 5/9 

= 5 divided by 9 = 0.555555555 ..... or 0.5 with a "bar" over the 5

300

What are the decimal forms of:

1) 1/4

2) 1/2

3) 3/4

1) 0.25

2) 0.50

3) 0.75

400

What is the decimal form of 3/5?

(Hint: You need to divide the numerator by the denominator!)

.6

500

What is the decimal form of 3/8?

.375