Converting Between Fractions, Decimals, and Percents
Converting a Fraction with a Denominator of 100 to a Percentage
Converting a Percentage to a Fraction with a Denominator of 100
Finding the Percentage of a Grid that is Shaded
Representing Benchmark Percentages on a Grid
Introduction to Converting a Percentage to a Decimal
Introduction to Converting a Decimal to a Percentage
Converting Between Percentages and Decimals
Converting Between Percentages and Decimals in a Real-World Situation
Converting a Percentage to a Fraction in Simplest Form
Converting a Fraction to a Percentage: Denominator of 4, 5, or 10
Finding Benchmark Fractions and Percentages for a Figure
Converting a Fraction to a Percentage: Denominator of 20, 25, or 50
Converting a Fraction to a Percentage in a Real-World Situation
√25 is a perfect square that equals 5. We can therefore put 5 outside the radical and get the final answer to square root of 50 in simplest radical form as follows: 5√ 2 Simplest Radical Form Calculator Here you can submit another square root that we will display in its simplest radical form. Write the following fraction on the board: 2436/3325; Ask your students to turn and tell their neighbor a strategy to reduce the fraction to its 'simplest form,' but don’t clarify the term yet! Allow students to share their ideas with the whole class or with a partner. Note related academic terminology for future reference. You can put this solution on YOUR website! 6.2 = 12, 12/3 = 4 OR 6/3 = 2, 2.2 = 4 Either way, we get the simplest answer as 4. Shows how to simplify fractions by finding the greatest common factor (GCF). There is also an example that shows how to do it without finding the GCF. The simplest form of 80 / 16 is 5 / 1. Steps to simplifying fractions. Find the GCD (or HCF) of numerator and denominator GCD of 80 and 16 is 16; Divide both the numerator and denominator by the GCD 80 ÷ 16 / 16 ÷ 16; Reduced fraction: 5 / 1 Therefore, 80/16 simplified.
Selected Reading
Any per cent can be written as a fraction with a denominator of 100 as follows
x% = $frac{x}{100}$; 50% = $frac{50}{100}$
Write 2639 In Simplest Formulas
Similarly, 8% = $frac{8}{100}$; 10% = $frac{10}{100}$; 24% = $frac{24}{100}$ and so on The fraction can be reduced to simplest form as follows
We divide the numerator and the denominator with their highest common factor (HCF). Here the HCF of 50 and 100 is 50
50% = $frac{50}{50} div frac{100}{50} = frac{1}{2}$
So, 50% = $frac{1}{2}$
Rules to convert a percentage into a fraction in simplest form
The percentage is written as a fraction with 100 as denominator
For example, 30% = $frac{30}{100}$
This fraction is then simplified and reduced to lowest terms
For example, 30% = $frac{30}{100} = frac{3}{10}$
Write the percent as a fraction in the simplest form
24%
Solution
Step 1:
The percent written in fraction form
24% = $frac{24}{100}$
Step 2:
The fraction can be reduced to simplest form as follows
We divide the numerator and the denominator with their highest common factor. Here the HCF of 24 and 100 is 4
24% = $frac{24}{4} div frac{100}{4} = frac{6}{25}$
Step 3:
So, 24% = $frac{6}{25}$ in simplest form
Write the percent as a fraction in the simplest form
55%
Solution
Step 1:
The percent written in fraction form
55% = $frac{55}{100}$
Step 2:
The fraction can be reduced to simplest form as follows
We divide the numerator and the denominator with their highest common factor. Here the HCF of 55 and 100 is 5
55% = $frac{55}{5} div frac{100}{5} = frac{11}{20}$
Step 3:
So, 55% = $frac{11}{20}$ in simplest form
Write the percent as a fraction in the simplest form
6%
Solution
Step 1:
The percent written in fraction form
6% = $frac{6}{100}$
Step 2:
The fraction can be reduced to simplest form as follows
We divide the numerator and the denominator with their highest common factor. Here the HCF of 6 and 100 is 2
6% = $frac{6}{2} div frac{100}{2} = frac{3}{50}$
Step 3:
So, 6% = $frac{3}{50}$ in simplest form
Converting Decimals to Fractions
Converting a decimal to a proper fraction without simplifying: Basic
Converting a decimal to a proper fraction without simplifying: Advanced
Converting a decimal to a proper fraction in simplest form: Basic
Converting a decimal to a proper fraction in simplest form: Advanced
Converting a decimal to a mixed number and an improper fraction without simplifying
Converting a decimal to a mixed number and an improper fraction in simplest form: Basic
Exponents and fractions
Order of operations with fractions: Problem type 1
Selected Reading
We find it useful sometimes to convert a decimal to a fraction form and reduce it to simplest terms.
Rules to convert a decimal to a proper fraction in simplest form.
We drop the decimal point and write the number as the numerator of a fraction.
We take the place value of the last digit of the decimal number and write it as the denominator of the fraction.
Then we reduce the fraction to the simplest form.
Convert decimal 0.45 to a proper fraction in simplest form
Solution
Step 1:
We drop the decimal and write the number 45 as the numerator of a fraction.
Step 2:
The place value of the last digit 5 is a hundredth. So, we write 100 as the denominator of the fraction to get
$0.45 = frac{45}{100}$
Step 3:
To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 45 and 100 which is 5
$0.336 = frac{(45 div 5)}{(100 div 5)} = frac{9}{20}$
Step 4:
So, $0.45 = frac{9}{20}$ as a proper fraction in simplest form.
Convert decimal 0.74 to a proper fraction in simplest form.
Solution
Step 1:
We drop the decimal and write the number 74 as the numerator of a fraction.
Step 2:
The place value of the last digit 4 is a hundredth. So we write 100 as the denominator of the fraction to get
$0.74 = frac{74}{100}$
Step 3:
To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 74 and 100 which is 2
$frac{(74 div 2)}{(100 div 2)} = frac{37}{50}$
Step 4:
Write 2639 In Simplest Format
So, $0.74 = frac{37}{50}$ as a proper fraction in simplest form.