Percent to Fraction Calculator

Percent Fraction:

various that includes a percent, represents avalue out of a hundred with % while a fragment is the algebraic representation of probabilities. before converting percent numbers into afractions, a decimal form may be acquired by dividing the % quantity with 100. it'll simplify the calculations. After dividing byGCF, a fraction can be further reduced. in addition, using percent to fraction calculator is the very best manner to make simpler calculations.

Example:

Percentage: 40% Fraction: 40/100; GCF = 20 Reduced fraction: 2 / 5 Hence, 40% = 2 / 5

percentage to fraction calculator:

A web percentage to fraction calculator allows to transform percentage to fraction right/unsuitable and combined numbers for the given input. remember the fact that if the given percent cost is more than a hundred%, then this percent to fraction calculator convert the price into the mixed numbers. changing percents to fractions becomes clean with this clever calculator.

The way to Convert a percent to a fragment?

To transform percent to fraction you could observe common methods:

method # 1: Convert to a Decimal after which to a fraction:

in this method you need to divide the percent via one hundred to convert it into decimal shape. Have a glance on following steps:

• Divide the given percentage with the aid of one hundred. it'll convert it right into a decimal wide variety.
• Now the quantity after department could be used as a top range of the equation. Its bottom wide variety or denominator could be 1.
• here and now you need to convert the decimal quantity into a whole quantity. For this actually matter the digits that comes after decimals. If there are x numbers after decimal, then you need to multiply the numerator and denominator of the equation by way of 10x.
• lessen the acquired fraction as a very last step of the complete system. For this discover the GCF or finest common element of the pinnacle wide variety or numerator and backside variety or denominator. After dividing by means of GFC you may have your final simple fraction for the given percent.

Example: How to convert 45.6% into a fraction form?

• 45.6% / 100 = 45.6 / 100 = 0.456
• 0.456 / 1
• There are 3 digits after decimal therefore the above equation will be multiplied by 1000.
• (0.456) multiply by (1000) / (1) multiply by (1000) = 456 / 1000
• GCF of top and bottom number = 4
• 456 ÷ 4 / 1000 ÷ 4 = 114 / 250
• 45.6% = 114 / 250

 

Method # 2: Put the Percentage in a Fraction Over 100:

This method does not involve the long procedure. You just have to divide the given percentage by 100 and then reduce the fraction.

Example: Convert 40 percent into a fraction form

• In the first step divide 40% by 100: 40 / 100
• Now we will reduce the fraction by dividing it by GCF of top and bottom numbers.
• GCF = 20
• 40 divided by 20 / 100 divided by 20 = 2 / 5
• 40% = 2 / 5.

FAQ’s:

what's 15% as a fraction?

The 15% is expressed in fraction shape as 3/20.

what's forty% as a fragment?

The forty% is expressed in fraction form as 2/5.

what's two hundred percentage as a fragment?

The two hundred percentage is expressed in fraction shape as 2/1 or 2.

what's 2% as a fraction?

The two% is expressed in fraction form as 1/50.