A ratio is a comparison of two numbers. A proportion, which is an equation with a ratio on each side, states that two ratios are equal. Use the word 'to' as we write ratio in fraction form with a colon and we compare ratios. Ratio can be equal or equivalent and greater than another. You have a proportional, you have equal ratio. When two equal ratios are making a proportion or having two equal ratio, you create proportion. When we know two ratios are equivalent, you can write a proportion. 1:2 = 2:4 If there are two ratios are equivalent, we can say that two ratios form a proportion. Example #1 - Can these two ratios make a proportion? That are 3/4 and 4 : 24. 4:24 = 4/24 We will reduce the fractions. 4/24 = 1/6. Then, compare the two fractions. 1/6 ≠ 3/4. Then, the answer will exactly be the same. Equivalent ratios make proportion; otherwise, they do not. Use information in the problem when the set of two equivalent fractions to write a proportion. Example #2 : Given: Ratio of girls to boys in a class = 2:3, Number of boys = 24, Number of girls in the class (for writing a proportion) = ? Writing the ratio of the girls to boys. Girls/boys = 2/3. We there are 24 boys in a class so, we will write the statement for proportion. 2/3 = x/24 Find the value of x by cross multiplication. 2/3 = x/24, 3x = 2 × 24, 3x = 48, x = 19.
Your students will find the proportion between a given set of numbers, create equivalent proportions from given sets of numbers, complete ratio word problems, and complete proportions by filling in the blanks in ratios. They will also work with three way ratios. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, reviews, and quizzes. Ample worksheets are provided for students to practice independently. Problems are both at the basic skills and intermediate skills levels. When finished with this set of worksheets, students will be able to recognize, create, and complete both two way and three way proportions. These worksheets explain how to identify and create equivalent proportions. Sample problems are solved and practice problems are provided.
