Equivalent ratios A ratio is used to describe how two or more quantities are related. For example, we might say that a fruit drink calls for sugar crystals to be mixed with water in a ratio of 2: This means that for every 2 scoops sugar crystals, there will need to be 6 ounces of water.
Why do we even use fractions? Why don't we just divide the two numbers and use the decimal instead? In this day of cheap calculators, that's a very good question. Fractions were invented long before decimal numbers, as a way of showing portions less than 1, and they're still hanging around. They're used in cooking, in building, in sewing, in the stock market - they're everywhere, and we need to understand them.
Just to review, the number above the bar is called the numerator, and the number below the bar is called the denominator. We can read this fraction as three-fourths, three over four, or three divided by four.
Every fraction can be converted to a decimal by dividing. If you use the calculator to divide 3 by 4, you'll find that it is equal to 0.
Here are some other fractions and their decimal equivalents. Remember, you can find the decimal equivalent of any fraction by dividing. Here are some terms that are very important when working with fractions. Proper fraction When the numerator is less than the denominator, we call the expression a proper fraction.
These are some examples of proper fractions. Improper fraction An improper fraction occurs when the numerator is greater than or equal to the denominator. These are some examples of improper fractions: Mixed number When an expression consists of a whole number and a proper fraction, we call it a mixed number.
Here are some examples of mixed numbers: We can convert a mixed number to an improper fraction. First, multiply the whole number by the denominator of the fraction.
Then, add the numerator of the fraction to the product. Finally, write the sum over the original denominator. In this example, since three thirds is a whole, the whole number 1 is three thirds plus one more third, which equals four thirds.
Equivalent fractions There are many ways to write a fraction of a whole.Two or more Fractions are said to be Equivalent Fractions If they represent the same amount or same Fraction. To get a fraction equivalent to a given fraction, we multiply or divide the numerator and the denominator of the given fraction by the same number (except 0 or 1).
This lesson is for third through fifth grade students who have an understanding of equivalent fractions using models, an understanding of multiplication and division facts, and of multiplying and dividing fractions. Students will use multiplication and division to show equivalent fractions.
Use equivalent fractions to add and subtract fractions with like denominators. Use decimal notation for fractions with denominators 10 and Use words to indicate the value of the decimal.
“Write at least two fractions which are equivalent to ¾”. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3).
|Fraction and Decimal Equivalents||The worksheets can be made in html or PDF format — both are easy to print. You can also customize them using the generator below.|
|How do you write an equivalent fraction for three fifths||In order to add or subtract fractions, we have to have common denominators.|
|Equivalent Fractions Match | Lesson Plan | monstermanfilm.com | Lesson plan | monstermanfilm.com||Common denominators Video transcript Welcome to my presentation on equivalent fractions. So equivalent fractions are, essentially what they sound like.|
Explain why the fractions are equivalent, e.g., by using a visual fraction model. “A decimal that names the same part of a whole as a fraction is the fraction’s decimal equivalent.
To change a fraction to a decimal, find an equivalent fraction with a denominator of 10 or Look at the following three ways to model the fraction one-half.”. 1. These diagrams show three equivalent fractions 2. These diagrams show three equivalent fractions © Corbettmaths Write in the missing numbers.