When 2 fractions refer to the same whole and have the same denominator?

When 2 fractions refer to the same whole and have the same denominator?

Two fractions are equivalent fractions when they represent the same part of a whole. Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator.

When the denominators are the same the fraction with the is the largest fraction?

When fractions have the same denominator, the larger fraction is the one with the larger numerator. If the numerators are the same, the fractions are equivalent fractions. In our example, 12/15 is larger than 10/15, so 4/5 of the candy bar would be more.

Why does the length of unit fractions grow smaller as there denominators get larger?

Part of a Whole: a fraction indicates that a whole has been separated into equal parts and a certain number of those parts are being considered. AS DENOMINATOR GETS BIGGER, THE FRACTION GETS SMALLER.

What happens to the size of the pieces of pie as the denominator of the fraction gets larger?

As the denominator gets larger, the fraction gets smaller. To compare fractions with like numerators, look at the denominators. The fraction with the smaller denominator is the larger fraction.

Why is it important to compare fractions with the same whole?

Using representations to compare fractions help students develop their number sense about fraction size. This awareness helps them to understand the strategies they use to compare whole numbers do not necessarily compare to fractions (1/2 is greater than 1/6 even though the whole number 6 is greater than 2).

Why can you compare two fractions with the same denominator by only comparing the numerators?

👉 Fractions with the same numerators means that we’re talking about the same number of parts. So to compare fractions with the same numerator, all you have to do is compare the denominators. The fraction with the bigger denominator is smaller.

How do you compare fractions with the same numerator but have different denominators?

From the models, you can see that 1/8 is smaller than 1/6. 👉 Fractions with the same numerators means that we’re talking about the same number of parts. So to compare fractions with the same numerator, all you have to do is compare the denominators. The fraction with the bigger denominator is smaller.

How do you compare fractions with the same denominator?

What is the Rule of Comparing Fractions with the Same Denominator? When the denominators are the same, the fraction with the lesser numerator is the lesser fraction and the fraction with the greater numerator is the greater fraction. When the numerators are equal, the fractions are considered equivalent.

Why are smaller fractions bigger?

Comparing Fraction Review The bigger the denominator, the smaller the fraction. Remember: The bigger the denominator, the more parts the whole is split into, so each piece is smaller. When 2 fractions have the same denominator, just compare numerators. The bigger the numerator, the bigger the fraction.

How do you compare two fractions with different denominators?

To compare improper fractions with different denominators, first write each fraction as its equivalent fraction so that they both have the same denominator. The largest improper fraction will now have the largest numerator. Two improper fractions can only be compared if they have the same denominator on the bottom.

Why do you have to multiply or divide both the numerator and denominator of a fraction?

If you multiply both the numerator and denominator of a fraction by the same non-zero number, the fraction remains unchanged in value. Therefore, equivalent fractions can be created by multiplying (or dividing) the numerator and denominator by the same number.

What is the difference between fraction with a greater and lesser denominator?

→→So, Fraction with a lesser denominator has larger pieces (Larger area) than the fraction with a greater denominator smaller pieces (smaller area). when two fractions refer to the same whole than the fraction with a lesser denominator has larger pieces than the fraction with a greater denominator because:

How do you know when one fraction is greater than another?

You often need to know when one fraction is greater or less than another fraction. Since a fraction is a part of a whole, to find the greater fraction you need to find the fraction that contains more of the whole. If the two fractions simplify to fractions with a common denominator, you can then compare numerators.

What is the same denominator method?

The Same Denominator Method. The denominator is the bottom number in a fraction. It shows how many equal parts the item is divided into. When two fractions have the same denominator they are easy to compare: But when the denominators are not the same we need to make them the same (using Equivalent Fractions).

What are the different ways to explain fractions?

Fractions Explained 1 Fractions as Less than a Whole. The usual way of looking at fractions is as smaller than a whole. 2 Naming Fractions. 3 Fractions with the Same Denominator. 4 Fraction as Sharing or Dividing of a Group.