15/20

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Show various properties and calculations for 15/20

Fraction properties, decimal, percentage, and related fraction items

Fraction Picture

Analyze Fraction

Numerator = 15

Denominator = 20

Fraction on a Number Line (3.NF.A.2)

Classify Fraction

Proper Fractions have Numerator < Denominator

Imroper Fractions have Numerator > Denominator

Whole Fractions have Numerator = Denominator

Since 15 < 20
15/20 is a(n) Proper fraction

Convert fraction to decimal

15/20 to decimal = 0.75

Long Division with Remainder

15/20 long division = 0 remainder 15

Click here for the math

Convert fraction to percentage

15/20 to percentage

Calculate unit fraction

Unit fractions have 1 for the numerator
and we keep the original denominator of 20

Calculate the fraction reciprocal

Determine characteristics for 15/20

• Rational
• Irrational
• Natural
• Whole
• Imaginary

Fraction Check

Since 15/20 is a fraction, we use our long division decimal calculator to get 0.75

Natural Number Test

Counting numbers > 0: 1,2,3,4,5,...

Since 0.75 is not both positive and a counting number, 0.75 is not a natural number

Whole Number Test

Whole Numbers are positive numbers

They include 0

They have no decimal or fractional parts

Since 0.75 is not >= 0 and an integer, 0.75 is not a whole number

Integer Test

Integers have no fractions or decimals

-5,-4,-3,-2,-1,0,1,2,3,4,5,...

0.75 is not an integer

Rational Number Test

Check for integer or decimal

Rationals = a/b

where a and b are integers<

and b ≠ 0.

Since 0.75 is an integer or decimal from above, 0.75 is also a rational

Irational Number Test

They do not form a ratio between two integers

They are not an imaginary number.

Imaginary Number Test

Test for square root of a negative

Since 0.75 is not the square root of a negative number, it is not imaginary

Equivalent Fractions: Check if we can simplify our fraction

GCF(15, 20) = 5

Since we have a GCF ≠ 1, we divide numerator and denominator by the GCF = 5

This is our first equivalent fraction, simplified. We use this fraction to build more equivalent fractions

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Multiply top and bottom by 20

Final Answer