Converting Fractions to Decimals
Method 1:
When the denominator of the fraction is 10, 100, or 1000, you can use mental math.
in words:
a model:
a fraction:
a decimal:
6 tenths
tenths place!
Converting Fractions to Decimals
When the denominator of the fraction is 10, 100, or 1000, you can use mental math.
in words:
2 tenths
a model:
a fraction:
a decimal:
Click some of the empty spaces in the ten-frame. When you
stop, write the number of coloured squares as a fraction of
the whole frame. Write that same fraction as a decimal.
Sample Answer
Click some of the balls to change them. Write a fraction and
a decimal to show the part of the group of balls that has
changed.
Sample Answer
Converting Fractions to Decimals
When the denominator of the fraction is 10, 100, or 1000, you can use mental math.
in words:
a model:
a fraction:
a decimal:
25 hundredths
hundredths!
Converting Fractions to Decimals
When the denominator of the fraction is 10, 100, or 1000, you can use mental math.
in words:
85 hundredths
a model:
a fraction:
a decimal:
Converting Fractions to Decimals
Method 2:
When the denominator can be made into an equivalent fraction of 10, 100, or 1000, we
can use our understanding of equivalent fractions to help us use mental math.
in words:
a model:
a fraction:
a decimal:
2 fifths
What fraction is the same
as two fifths?
Converting Fractions to Decimals
When the denominator can be made into an equivalent fraction of 10, 100, or 1000, we
can use our understanding of equivalent fractions to help us use mental math.
in words:
Pull
20 twenty-fifths
What fraction is the same
as 20 twenty-fifths?
a model:
a fraction:
a decimal:
Converting Fractions to Decimals
Method 3:
Any fraction can be written as a decimal by dividing its numerator by its denominator.
**We stop dividing when our remainder is zero!**
Any fraction can be written as a decimal by dividing its numerator by its denominator.
**We stop dividing when our remainder is zero!**
But wait...what happens if we can't get a remainder of zero?
What is a terminating decimal?
What is a repeating decimal?
Fraction
**show your thinking!
3/10
7/10
65/100
25/100
125/1000
Decimal
Fraction
Decimal
**show your thinking!
1/5
15/25
19/20
45/50
14/20
3/4
Fraction
**show your thinking!
7/8
2/6
15/17
25/27
85/90
2/15
Decimal
Fraction
Decimal
**show your thinking!
1/9
2/9
3/9
4/9
5/9
6/9
7/9
8/9
Fraction
**show your thinking!
12/99
32/99
56/99
78/99
57/99
62/99
78/99
81/99
Decimal
Can you go back and forth between fractions & decimals?
FRACTION
DECIMAL
3/5
0.8
9/10
0.25
5/6
27/30
0.32
13/20