Percentages and fractions are two ways of representing parts of a whole. Percentages are expressed as a fraction of 100, while fractions are expressed as a quotient of two integers. Converting percentages to fractions is a common operation in mathematics.
Key Facts
- Converting 132% to a fraction: To convert 132% to a fraction, we divide 132 by 100. This gives us the fraction 132/100, which can be simplified further.
- Simplifying 132/100: To simplify the fraction 132/100, we find the greatest common factor (GCF) of the numerator and denominator. In this case, the GCF of 132 and 100 is 4. Dividing both the numerator and denominator by 4, we get the simplified fraction 33/25.
- Converting 0.132 to a fraction: To convert the decimal number 0.132 to a fraction, we multiply it by 1000 to get rid of the decimal point. This gives us the fraction 132/1000. Simplifying this fraction by dividing both the numerator and denominator by their greatest common factor (4), we get the simplified fraction 33/250.
Converting 132% to a Fraction
To convert 132% to a fraction, we follow these steps:
- Rewrite 132% as a fraction with a denominator of 100.
132% = 132/100
- Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).
The GCF of 132 and 100 is 4. Dividing both the numerator and denominator by 4, we get:
132/100 ÷ 4/4 = 33/25
Therefore, 132% as a fraction is 33/25.
Converting 0.132 to a Fraction
To convert the decimal number 0.132 to a fraction, we follow these steps:
- Multiply the decimal number by a power of 10 to move the decimal point to the end of the number.
In this case, we multiply 0.132 by 1000 to get 132.
0.132 × 1000 = 132
- Write the resulting number as a fraction with a denominator of the power of 10 used in step 1.
132/1000
- Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).
The GCF of 132 and 1000 is 4. Dividing both the numerator and denominator by 4, we get:
132/1000 ÷ 4/4 = 33/250
Therefore, 0.132 as a fraction is 33/250.
Conclusion
Percentages and fractions are two ways of representing parts of a whole. Converting percentages to fractions is a common operation in mathematics. To convert a percentage to a fraction, we divide the percentage by 100 and simplify the resulting fraction. To convert a decimal number to a fraction, we multiply the decimal number by a power of 10 to move the decimal point to the end of the number, write the resulting number as a fraction with a denominator of the power of 10 used, and simplify the fraction.
Sources
- https://hellothinkster.com/math-questions/fractions/what-is-132-as-a-fraction
- https://decimal.info/decimal-to-fraction/1/what-is-0.132-as-a-fraction.html
- https://math.answers.com/other-math/What_is_132_percent_as_a_fraction_in_simplest_form
FAQs
How do I convert 132% to a fraction?
To convert 132% to a fraction, divide 132 by 100 and simplify the resulting fraction. For example, 132% = 132/100 = 33/25.
How do I convert 0.132 to a fraction?
To convert 0.132 to a fraction, multiply 0.132 by 1000 to move the decimal point to the end of the number, write the resulting number as a fraction with a denominator of 1000, and simplify the fraction. For example, 0.132 = 132/1000 = 33/250.
What is the simplest form of 132/100?
The simplest form of 132/100 is 33/25. To simplify a fraction, divide both the numerator and denominator by their greatest common factor (GCF). The GCF of 132 and 100 is 4. Dividing both the numerator and denominator by 4, we get 33/25.
What is the simplest form of 0.132 as a fraction?
The simplest form of 0.132 as a fraction is 33/250. To simplify a fraction, divide both the numerator and denominator by their greatest common factor (GCF). The GCF of 132 and 1000 is 4. Dividing both the numerator and denominator by 4, we get 33/250.
How do I convert a percentage to a fraction?
To convert a percentage to a fraction, divide the percentage by 100 and simplify the resulting fraction. For example, 25% = 25/100 = 1/4.
How do I convert a decimal number to a fraction?
To convert a decimal number to a fraction, multiply the decimal number by a power of 10 to move the decimal point to the end of the number, write the resulting number as a fraction with a denominator of the power of 10 used, and simplify the fraction. For example, 0.75 = 75/100 = 3/4.
What is the difference between a percentage and a fraction?
A percentage is a fraction of 100, while a fraction is a quotient of two integers. Percentages are often used to represent parts of a whole, while fractions can be used to represent parts of a whole or parts of a set.
When would I need to convert a percentage or decimal number to a fraction?
You might need to convert a percentage or decimal number to a fraction when performing calculations, solving equations, or comparing values. For example, you might need to convert a percentage to a fraction when calculating the sale price of an item or when finding the probability of an event.