Equivalent Fractions R46. Step 1 Make a model to represent 2 _. Step 2 Divide the rectangle from Step 1 in half.

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1 Lesson. Equivalent Fractions Write two fractions that are equivalent to _. Step Make a model to represent _. The rectangle is divided into equal parts, with parts shaded. Step Divide the rectangle from Step in half. The rectangle is now divided into equal parts, with parts shaded. The model shows the fraction. So, _ and are equivalent. Step Draw the same rectangle as in Step, but with only equal parts. Keep the same amount of the rectangle shaded. The rectangle is now divided into equal parts, with part shaded. The model shows the fraction _. So, _ and _ are equivalent. Use models to write two equivalent fractions... Grade R

2 Lesson. Generate Equivalent Fractions Write an equivalent fraction for 5. Step Choose a whole number, like. Step Create a fraction using as the numerator and denominator: _. This fraction is equal to. You can multiply a number by without changing the value of the number. Step Multiply _ 5 by _ : So, _ 5 and are equivalent. 0 Write another equivalent fraction for 5. Step Choose a different whole number, like 0. Step Create a fraction using 0 as the numerator and denominator: 0 0. Step Multiply _ 5 by 0 : So, _ and 0 are equivalent Write two equivalent fractions Grade R7

3 Lesson. Simplest Form A fraction is in simplest form when is the only factor that the numerator and denominator have in common. Tell whether the fraction _ 7 is in simplest form. Look for common factors in the numerator and the denominator. Step The numerator of _ 7 is 7. List all the factors of 7. Step The denominator of _ 7 is. List all the factors of The factors of 7 are and The factors of are,,, and. Step Check if the numerator and denominator of 7 _ have any common factors greater than. The only common factor of 7 and is. So, 7 _ is in simplest form. Tell whether the fraction is in simplest form. Write yes or no Write the fraction in simplest form Grade R

4 Lesson. Common Denominators A common denominator is a common multiple of the denominators of two or more fractions. Write _ and _ as a pair of fractions with common denominators. Step Identify the denominators of _ and _. Step List multiples of and. Circle common multiples. Step Rewrite _ as a fraction with a denominator of. Step Rewrite _ as a fraction with a denominator of. _ and _ The denominators are and. :,, 9,, 5, :,,,, 0 is a common multiple of and. _ So, you can rewrite _ and _ as and 9. Write the pair of fractions as a pair of fractions with a common denominator.. and. and 5. and 5. and and. and Grade R9

5 Lesson.5 Problem Solving Find Equivalent Fractions Kyle s mom bought bunches of balloons for a family party. Each bunch has balloons, and _ of the balloons are blue. If Kyle s mom bought 5 bunches of balloons, how many balloons did she buy? How many of the balloons are blue? What do I need to find? I need to find how many balloons Kyle s mom bought and how many of the balloons are blue. I can make a table. Read the Problem What information do I need to use? Each bunch has out of balloons that are blue, and there are 5 bunches. Solve the Problem How will I use the information? I will make a table to find the total number balloons Kyle s mom bought and the fraction of balloons that are blue. Number of Bunches 5 Total Number of Blue Balloons _ Total Number of Balloons 5 0 Kyle s mom bought 0 balloons. 5 of the balloons are blue. Make a table to solve.. Jackie is making a beaded bracelet. The bracelet will have no more than beads. of the beads on the bracelet will be green. What other fractions could represent the part of the beads on the bracelet that will be green?. Ben works in his dad s bakery packing bagels. Each package can have no more than bagels. of the bagels in each package are plain. What other fractions could represent the part of the bagels in each package that will be plain? Grade R50

6 Lesson. Compare Fractions Using Benchmarks A benchmark is a known size or amount that helps you understand a different size or amount. You can use _ as a benchmark. Sara reads for _ hour every day after school. Connor reads for _ hour. Who reads for a longer amount of time? Compare the fractions. Step Divide one circle into equal parts. Divide another circle into equal parts. Step Shade _ of the first circle. How many parts will you shade? parts Step Shade _ of the second circle. How many parts will you shade? parts Step Compare the shaded parts of each circle. Half of Sara s circle is shaded. More than half of Connor s circle is shaded., _ is less than _. So, Connor reads for a longer amount of time. Sara Connor. Compare and. Write, or Compare. Write, or Grade, R5

7 Lesson.7 Compare Fractions Theo filled a beaker _ full with water. Angelica filled a beaker _ full with water. Whose beaker has more water? Compare _ and _. Step Divide one beaker into equal parts. Divide another beaker into equal parts. Step Shade _ of the first beaker. Step Shade _ of the second beaker. Step Compare the shaded parts of each beaker. Half of Theo s beaker is shaded. Less than half of Angelica s beaker is shaded. is greater than. So,. Theo s beaker has more water. Theo Angelica. Compare and. 0. Compare and. 0 Which is greater? Which is less? Compare. Write,,., or Grade R5

8 Lesson. Compare and Order Fractions Write _, _, and _ in order from least to greatest. Step Identify a common denominator. Multiples of :,, Multiples of :,,, Multiples of :,,, Step Use the common denominator to write equivalent fractions. Use as a common denominator _ Step Compare the numerators.,, Step Order the fractions from least to greatest, using, or. symbols. _, _, _ So, _, _, _. Write the fraction with the greatest value..,,. 0,, 5., 5, 9 0 Write the fractions in order from least to greatest.. 9 0,, 5 5., 7,.,, 5 Grade R5