Name_____________________Date________ Mod ___ LT#____
Writing Decimals as Fractions and Mixed Numbers
1) Write 0.15 as a reduced fraction.
Think about how you would read this decimal in word form.
It would be “fifteen hundredths” The fraction would be
Reduce the fraction to lowest terms.
2) Write 1.045 as a reduced mixed number.
(A mixed number is a whole number with a fraction.)
1.045 = 1
Reduce the fraction to lowest terms.
3) Write 1.22 as a reduced mixed number. _______________
Writing Fractions and Mixed Numbers as Decimals
1) Write
as a decimal number.
There are 2 methods to write a fraction or mixed number as a
decimal.
Method 1: Try to make an equivalent fraction with a denominator
of 10,100 or 1000. Then write the fraction as a decimal.
= 0.6
Method 2: Divide the numerator by the denominator.
5 3.0
8 1.000
1
= 1.??
2) Write
= 0.6
= 0.125
4 1.00
= 1.25
as a decimal number. __________________
CHANGE
1)
2)
3)
4)
5)
FRACTIONS TO DECIMALS
Divide top by bottom
Place a decimal in the dividend
Place decimal in quotient directly
above decimal in dividend
Add zeros after the decimal
Divide until you have no remainder
Change each fraction to a decimal.
1) 3 =
2)
4
CHANGE
1)
2)
3)
4)
5
8
DECIMALS TO FRACTIONS
Read the decimal
Place the decimal digits in the numerator
The denominator is the decimal place of
the last digit.
Simplify.
Change each decimal to a fraction or mixed number in lowest terms.
1) 0.35
2) 0.05
3)
2.45
4)
0.375
WHAT IS A REPEATING DECIMAL?
A repeating decimal is a number that does not terminate (end) and
repeats in a pattern. Example 1/3 = 1÷3 = 0.3333333333
We write it as 0.3 with a repeater bar over the number that repeats.
WHAT IS A TERMINATING DECIMAL?
A terminating decimal is a decimal that ends.
For example 1/8 = 1÷8 = 0.125