2. 7/10 as a decimal.
The easiest way to find the decimal form of a fraction is to make it out of 10 or 100. Since this one's already out of 10, we read it as "seven tenths."
Seven tenths as a decimal is 0.7, because the 7 is in the tenths spot.
7/10 as a decimal is 0.7
3. 13/20 as a percent
Percent means "one part in every hundered", so let's convert this fraction into something out of 100.
To do that, we need to multiply it by whatever number will turn the denominator into 100.
20 x 5 = 100
13 x 5 = 65
13/20 is equal to 65/100
Now, we take the numerator, and write it as a percent.
65/100 is 65%
Therefore 13/20 as a percent is 65%
4. 25% as a fraction.
We can do this one the opposite of #3.
25% is 25/100
And then we can just simplify. 5 goes into both 25 and 100, so let's use that first.
25 ÷ 5 = 5
100 ÷ 5 = 20
25/100 = 5/20
But we can simplify it further, if we want, because 5 goes into 5 and 20
5 ÷ 5 = 1
20 ÷ 5 = 4
25/100 = 5/20 = 1/4
So 25% as a fraction can be written as 25/100, or 5/20, or 1/4.
Now, #5-16 can all be done the same way as #2, 3, or 4, so I'll write out the math, but not the lengthy explanation for the rest.
5. 2/5 as a percent
5 x 2 = 10
2 x 2 = 4
4/10
10 x 10 = 100
4 x 10 = 40
40/100
40%
6. 9/20 as a decimal
20 x 5 = 100
9 x 5 = 45
45/100
0.45
7. 21/50 as a percent.
50 x 2 = 100
21 x 2 = 42
42/100
42%
8. 1/25 as a percent
25 x 4 = 100
1 x 4 = 4
4/100
4%
9. 6% as a fraction
6/100
6 ÷ 2 = 3
100 ÷ 2 = 50
3/50
6/100 or 3/50
10. 3/5 as a percent
5 x 20 = 100
3 x 20 = 60
60/100
60%
11. 12/25 as a decimal
25 x 4 = 100
12 x 4 = 48
48/100
0.48
12. 3/10 as a percent
10 x 10 = 100
3 x 10 = 30
30%
13. 3/4 as a percent
4 x 25 = 100
3 x 25 = 75
75/100
75%
14. 65% as a fraction
65/100
65 ÷ 5 = 13
100 ÷ 5 = 20
13/20
65/100 or 13/20
15. 1/5 as a percent
5 x 20 = 100
1 x 20 = 20
20/100
20%
16. 9/10 as a percent
10 x 10 = 100
9 x 10 = 90
90/100
90%
#17 and 18 require a bit more math, because they're lovely word problems.
17. Ashlee has finished 7/25 of her homework. What percent of the homework does Ashlee still need to finish?
First, let's turn 7/25 into a percentage.
25 x 4 = 100
7 x 4 = 28
28/100
28%
Now, we subtract 28% from 100% to find out how much she's got left
100 - 28 = 72
Ashlee has 72% of her homework left to finish.
18. Luz catches 83% of the balls in the outfield. What fraction of the balls does he not catch?
Let's turn 83% into a simple fraction, and work from there.
83%
83/100
We can simplify the answer later, but for now, to find the fraction he doesn't catch, we subtract the fraction from the whole.
100/100 - 83/100 = 17/100
17 is a prime number, so we can't reduce it down at all.
Luz doesn't catch 17/100 of the balls.