Relationship of numerator and denominator

Video Post: Numerators & Denominators | Math Solutions

relationship of numerator and denominator

Explore two parts of a fraction called the numerator and denominator. Discover what these two numbers represent as you further your. the numerator is three (3) and the denominator is five (5). The numerator signifies to the number of pieces of the whole lot, and the denominator signifies the. Get tips on how to understand fractions, especially what the numerator is and what the denominator is. Learn the differences between the numerator and the.

The denominator of a number shows what fraction of 1 a fraction is counting. The 4 signifies that you are splitting 1 into four parts. The numerator shows how many divisions are being counted.

relationship of numerator and denominator

Numerator and denominator also signify division. A fraction is equal to its numerator divided by its denominator. Usually, doing this division will produce a decimal.

The Numerator and Denominator - Fractions - Free Math Help

Improper Fractions The numerator of a fraction can be larger than the denominator. If the numerator is larger, then the fraction is larger than 1 -- and is called an improper fraction. If you can divide an improper fraction's numerator evenly by its denominator, then the improper fraction is equal to a whole number.

An improper fraction that has a denominator of 1 will always be equal to its numerator. This is true because dividing a number by 1 will always give you the original whole number. A mixed fraction is equal to the whole number outside of the fraction plus the fraction. If you divide the fraction, you find that 4 goes into 7 once, and has a remainder of 3.

relationship of numerator and denominator

Place the quotient of the division outside the fraction, and set the remainder as the new numerator. One of these ten equal parts, or one tenth of the gridis shaded in red.

Comparing Fractions

One tenth, the red portion, can be divided into ten equal parts the yellow section shows this. The yellow portion is a one hundredth as of these make the whole. A one hundredththe yellow portion, can also be divided into ten equal parts the blue section shows this.

The blue portion is represents one thousandths of the whole, as of these thousands makes the whole. The following statements can be made: The red area is one tenth or zero point one 0. A visual model for decimal fractions The following video uses a thousandths grid in a similar way, to demonstrate writing decimal fractions: It is written as or 0.

Definition of Numerator and Denominator

It is easy to see that this shaded area is one half of the whole grid. This shaded area can also be broken up into 50 hundredths. The fraction 50 hundredths is equivalent to thousandths. Furthermore, the shaded area in the video can be broken up into five tenths. The fraction five tenths is equivalent to the fraction 50 hundredths and thousandths All of these fractions have the same value of one halfand so they are equivalent fractions.

Unlike whole numbers, a zero on the end right hand side does not change the value of the decimal.