Terminating and recurring decimals
Write as a terminating decimal:
11/25
11/25=44/100=0.44
Write as a fraction:
0.7
7/10
Find:
2/7-5/7
-3/7
2/3\times2/5
2/3\times2/5
=4/15
Write as a recurring decimal:
2/11
0.1818181818...
Express in lowest terms:
16/40
16/40
=(16\divide8)/(40\divide8)
=2/5
Find:
3/4+1/8
3/4+1/8
=6/8+1/8
=7/8
6\times2/3
6\times2/3
=6/1\times2/3
=12/3
=4
Without converting it to a decimal, explain whether the following fraction is terminating or recurring:
7/12
Recurring.
Factors of 12: 1, 12, 3, 4
Since 12 has a prime factor other than 2 or 5 (3), the fraction is recurring.
Write as an improper fraction:
6 2/3
20/3
Find:
1/6-1/4
1/6-1/4
=2/12-3/12
=-1/12
-1 1/4 \times5/9
-1 1/4 \times5/9
=-5/4 \times5/9
=-25/36
Convert to a decimal and state whether it is terminating or recurring:
3/7
0.428571428571...
Write as an improper fraction:
-3 1/7
-22/7
3/4+1/2-2/3
3/4+1/2-2/3
=9/12+6/12-8/12
=7/12
2/5\divide3/7
2/5\divide3/7
=2/5\times7/3
=14/15
Without converting it to a decimal, explain whether the following fraction is terminating or recurring:
9/15
Terminating.
Factors of 5: 1, 5
Since 5 does not have a prime factor other than 2 or 5 (3), the fraction is terminating.
Note: in simplest form,
9/15=3/5
Write in the form a/b:
2.31
231/100
Betty baked a lemon slice on Saturday. She ate 1/6 of it, and her greedy brother ate 3/5 . What fraction of the slice has not been eaten?
1-1/6-3/5
=30/30-5/30-18/30
=7/30
Gary has 7 1/2 melons that he wishes to cut into quarters. How many quarter melons will he have?
7 1/2\divide1/4
=15/2\divide1/4
=15/2\times4/1
=60/2
=30