The following worksheets teach your students how to use fractions as part of a sentence.

This section of worksheets starts to associate the operation of division with both the concepts of sharing and creating groups. We start of by showing that when something is being divided by two you are simply being asked to create two equal groups for the dividend. We then move to relating fractions to quotients. This is a unique way to get students to really understand the nature of fractions and how they relate to quotients.

How are fractions and division related? Indeed, consider it, if four companions were to share a pizza, you should isolate the pizza into four equivalent parts, and every one of them will get one piece out of the four, right? 1 ÷ 4 = 1/4. Do you perceive how division is identified with parts? Presently, how about we transform a part into a quotient. 1/4 = 1 ÷ 4 The top (numerator) that goes to one side of the quotient sign is the number being split. The base (denominator) that goes on the privilege is the number that we are partitioning by. Obviously, the part line is supplanted by the proper symbol. Realizing how portions and division are connected is truly stunning. Presently we have another approach to decipher a division. Consider how two isolated by five is 2/5. Assume that we need to partition two pizzas similarly among five individuals (2 ÷ 5). What number of pizzas will every one of them get? Every individual will get 2/5 of a pizza. In a fraction, the number displayed on top is called the numerator and the number below the line is called the denominator. Fractions and division are linked through two simple methods. The first method of dividing fractions is to multiply by the reciprocal. In this method, you invert the second fraction to place the numerator in the place of the denominator and the denominator in place of the numerator. Then you multiply the first fraction with the inverted fraction and then simplify the result by reducing it if possible. The other method requires you to make the denominators of the fractions common by multiplying one or both the fractions. This can be done by finding a number that would make the denominators the same when you multiply one or both of them with it. These worksheets help students connect fractions to division using visual representation. Your students will divide groups of picture icons by a given number, and practice writing the operation as a division sentence and as a part sentence, converting the divisor into a fraction.



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Relating Fractions to Division Lesson

Divide into two equal groups. Write a math sentence and a part sentence, finding half of the total.

Practice: Relating Fractions to Division

Divide into four equal groups. Write a math sentence and a part sentence, finding 1 / 4th of the total. If you divide something into four of the equal parts, then either part is one-FOURTH of the whole.

Connections Worksheet

Students are provided with the visual representation of ten numbers. Students will do division to find a specified fraction of a given number.

Finding 1/4 of a Number

Students will divide each specified number by four. They will use visual representation to determine 1/4 of each number.

Finding 1/4 or 1/2 of a Number

Students will divide each specified number by either two or four. They will use visual representation to determine 1/4 or 1/2 of each number.

Connecting Values Warm Up

Students will solve a variety of division problems using the visual representations provided. Three problems are provided.