# Fractions to Decimals

Fractions to Decimals
1 / 15
Slide 1: Slide

This lesson contains 15 slides, with interactive quizzes and text slides.

## Items in this lesson

Fractions to Decimals

#### Slide 1 -Slide

Quick Review

Fraction:
Numerator

Denominator
(Parts of a whole number)
(Total number of parts or the whole)

#### Slide 2 -Slide

1 piece of 8 pieces of pizza
1 group = 4/20
(4 apples in one group out of 20 total)

#### Slide 3 -Slide

Quick Review
Decimal:

4.156
A whole number
Parts of a whole number
Digits following a decimal point is a value less than 1.

#### Slide 4 -Slide

Terminating decimal
(It has an end.)
Recurring or repeating decimal

(Keeps going forever in a pattern)

#### Slide 5 -Slide

Let's try something new...
Turning a fraction into a decimal
First, we need to divide the numerator by the denominator.
{Five divided by nine}

#### Slide 6 -Slide

Can nine go into five?
some zeroes.
5.000
Divided by

9 =
0.555555

#### Slide 7 -Slide

Notice anything?
That's right! The answer to 5 divided by 9 is a recurring or repeating decimal.  No matter how long you continue to add zeroes and divide, you're always going to end up with another 5.
over the five like the example below.

#### Slide 8 -Slide

Let's test what we've learned
To convert fractions to decimals, you need to:
A
divide the denominator by the numerator
B
add the numerator and the denominator
C
subtract the numerator from the denominator
D
divide the numerator by the denominator

#### Slide 9 -Quiz

True
False
If a number remains when you are dividing, continue to add zeros until they're gone or you find it's a repeating decimal.
A repeating decimal will have an end.
You don't need to divide when converting.
You can convert all fractions to a decimal.

#### Slide 10 -Drag question

Try it!
Convert 1/8 to a decimal.
A
1.8
B
.125
C
18.00
D
.18

#### Slide 11 -Quiz

Try it!
Convert 5/12 to a decimal. (Rounded up.)
A
.42
B
.512
C
5.12
D
.416

#### Slide 12 -Quiz

Try it!
Convert 9/10 to a decimal.
A
.90
B
1.111....
C
9.10
D
.19

#### Slide 13 -Quiz

Try it!
Convert 3/7 to a decimal.
A
.37
B
.300
C
.428
D
3.7

#### Slide 14 -Quiz

You did it!
Congratulations! You have successfully learned how to convert fractions to decimals. Ready to try converting decimals to fractions for our next lesson?