Percentage-Decimal-Fraction Relations Calculator

Convert the decimal to:

a fraction and a percentage:

The decimal 88.596 is greater than 1.

Write this as a whole number and fraction:

The whole number is 88

The decimal piece is 88.596 - 88 = 0.596

Build the denominator

Raise 10 to the power of 3 = 1000

Build the numerator

For our numerator, we take 0.596 x 1000 = 596

596
1000

We can reduce 596 and 1000
From our GCF Calculator, we see that the highest number that reduces 596 and 1000 is 4.
Our numbers reduce as follows: 596 ÷ 4 = 149 and 1000 ÷ 4 = 250

Reduce the fraction

149
250

Combine the fracion and whole number

Combining this with our whole number of 88,
our decimal of 88.596 rewritten as a whole number and fraction is

88 & 149/250

Simplify our fraction

Our fraction is not fully reduced.
Using our GCF Calculator, we can reduce top and bottom of the fraction by 8

88.596 as a Fraction =	11
	125

88.596 as a Fraction = 11/125

Calculate the percentage for the decimal

Percentage for decimal = Decimal x 100%

Multiplying by 100 is the same as
shifting the decimal point 2 places to the right.

Shifting 88.596 one decimal place to the right, we get --> 885.96

Shifting 885.96 another decimal place to the right
and adding a percentage (%) sign, we get --> 8859.6

Write this as a ratio:

Ratio = Numerator : Denominator

Ratio = 11 : 125

Final Answer

11/125

Common Core State Standards In This Lesson

4.NF.C.6, 6.RP.A.3.C

What is the Answer?

11/125

How does the Percentage-Decimal-Fraction Relations Calculator work?

Free Percentage-Decimal-Fraction Relations Calculator - Calculates the relational items between a fraction, a decimal (including repeating decimal and terminating decimal), a percentage, and the numerator and denominator piece of that fraction. Also calculates the percentage change going from one number to another or the amount increase or decrease of a percentage above/below a number. Round decimals. decimals into fractions
This calculator has 1 input.

What 3 formulas are used for the Percentage-Decimal-Fraction Relations Calculator?

Percent = Decimal * 100%
Decimal = Percent/100
Decimal = Numerator/Denominator

What 6 concepts are covered in the Percentage-Decimal-Fraction Relations Calculator?

decimal: Number in the form a/b where the result is not a whole number
denominator: The bottom portion of a fraction. For a/b, b is the denominator
fraction: how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
numerator: the number above the line in a common fraction
percent: a specified amount in or for every hundred. one part in every hundred.
n% = n/100
percentage-decimal-fraction relations