example
Convert each percent to a fraction:
1.
\text{36%}
2.
\text{125%}
Solution
1. |
36% |
Write as a ratio with denominator 100. |
10036 |
Simplify. |
259 |
2. |
125% |
Write as a ratio with denominator 100. |
100125 |
Simplify. |
45 |
Example
Convert each percent to a fraction:
1.
\text{24.5%}
2.
3331%
Solution
1. |
24.5% |
Write as a ratio with denominator 100. |
10024.5 |
Clear the decimal by multiplying numerator and denominator by 10. |
100(10)24.5(10) |
Multiply. |
1000245 |
Rewrite showing common factors. |
5⋅2005⋅49 |
Simplify. |
20049 |
2. |
3331% |
Write as a ratio with denominator 100. |
1003331 |
Write the numerator as an improper fraction. |
1003100 |
Rewrite as fraction division, replacing 100 with 1100 |
3100÷1100 |
Multiply by the reciprocal. |
3100⋅1001 |
Simplify. |
31 |
example
Convert each percent to a decimal:
1.
\text{6%}
2.
\text{78%}
Answer:
Solution
Because we want to change to a decimal, we will leave the fractions with denominator 100 instead of removing common factors.
1. |
6% |
Write as a ratio with denominator 100. |
1006 |
Change the fraction to a decimal by dividing the numerator by the denominator. |
0.06 |
2. |
78% |
Write as a ratio with denominator 100. |
10078 |
Change the fraction to a decimal by dividing the numerator by the denominator. |
0.78 |
try it
Convert each percent to a decimal:
1.
\text{9%}
2.
\text{87%}
Answer:
1. 0.09
2. 0.87
example
Convert each percent to a decimal:
1.
\text{135%}
2.
\text{12.5%}
Solution
1. |
135% |
Write as a ratio with denominator 100. |
100135 |
Change the fraction to a decimal by dividing the numerator by the denominator. |
1.35 |
2. |
12.5% |
Write as a ratio with denominator 100. |
10012.5 |
Change the fraction to a decimal by dividing the numerator by the denominator. |
0.125 |
example
Among a group of business leaders,
\text{77%} believe that poor math and science education in the U.S. will lead to higher unemployment rates.
- Convert the percent to a fraction
- Convert the percent to a decimal
Answer:
Solution
1. |
77% |
Write as a ratio with denominator 100. |
10077 |
2. |
10077 |
Change the fraction to a decimal by dividing the numerator by the denominator. |
0.77 |
Example
There are four suits of cards in a deck of cards—hearts, diamonds, clubs, and spades. The probability of randomly choosing a heart from a shuffled deck of cards is
\text{25%}. Convert the percent to:
1. a fraction
2. a decimal
Solution
1. |
25% |
Write as a ratio with denominator 100. |
10025 |
Simplify. |
41 |
2. |
41 |
Change the fraction to a decimal by dividing the numerator by the denominator. |
0.25 |