Core Focus on Decimals & Fractions Dividing Fractions with Models Lesson 5.3

Warm-Up 1.21 ÷ ÷ 4 3.How many groups of 8 fit into the number 24? 4.How many groups of 4 fit into the number 32?

Dividing Fractions with Models Use models to divide fractions. Lesson 5.3

Good to Know! Dividend The number being divided. Divisor The number used to divide. Quotient The answer to a division problem. DividendQuotientDivisor

Example 1 Maelynn needs to measure cup of milk, but only has a cup measuring cup. How many times will she need to fill it? Write the problem. How many -sized groups are in the number ? Draw a picture that represents the dividend,. Circle groups that are the size of the divisor,. Count how many groups of the divisorThere are 3 circled groups of in. fit in the dividend to find the quotient. Maelynn will need to fill the measuring cup 3 times.

Example 2 Clint need to make a platform that is inch thick. He has boards that are each inch thick. How many boards does he need to make the platform? Write the problem. How many -sized groups are in the number ? Rename one or both of the fractions so they have common denominators. Draw a picture that represents the dividend, or. Circle groups that are the size of the divisor,. Clint will need two boards, each inch thick, to make a inch thick platform. Count how many groups of the divisor fit in the dividend to find the quotient. There are 2 circled groups of in or.

Step 1Choose one expression from the yellow box. (This example uses.) Step 2If the two fractions in this expression have the same denominator, go to Step 3. If the two fractions have unlike denominators, find a common denominator. Step 3Draw a rectangle. Divide it into as many sections as the denominator of the dividend. If you renamed the dividend in Step 2, use the new fraction. Step 4Color in as many sections as the numerator of the dividend. Step 5Circle sets of your divisor in your drawing.

Step 6Count how many sets of the divisor are circled in your drawing. Step 7Write your drawing as an equation with an answer. Step 8Use Steps 1–7 to find the quotient of at least four different expressions from the yellow box. Quotient

Communication Prompt What is the process for finding the answer to using models?

Exit Problems 1. Draw a model to represent. Find the quotient. 2. Draw a model to represent. Find the quotient. 3. Write the equation that matches the model. 4. Write the equation that matches the model. 4 3