Fraction which is smaller

For this, the numerator is divided by the denominator and the fraction is converted into a decimal. Then, the decimal values are compared. We can use various graphical methods and models to visualize larger fractions.

Model A and B represent the given respective fractions. Note that the smaller fraction occupies a lesser area of the same whole. A point to be taken into consideration here is that the size of models A and B should be exactly the same for the comparison to be valid.

Each model is then divided into equal parts equivalent to their respective denominators. In this method, we cross multiply the numerator of one fraction with the denominator of the other fraction. The same has been indicated by the arrows in the figure below. In the example given below, when we cross multiply, we get 4 and 6. Can you explain it to him? The fraction with a greater numerator will be a greater fraction. He is a bit confused. Can you help him?

In this method, we find lcm of the denominators of the given fractions, making the denominator the same.

By doing so, we get 18 for both. Comparing fractions means comparing the given fractions in order to tell if one fraction is less than, greater than, or equal to another. When the denominators are the same, the fraction with the lesser numerator is the lesser fraction and the fraction with the greater numerator is the greater fraction. When the numerators are equal, the fractions are considered equivalent. When the fractions have the same numerator, the fraction with the smaller denominator is greater.

The fractions that have different numerators and denominators but are equal in their values are called equivalent fractions. The easiest and the fastest way to compare fractions is to convert them into decimal numbers. Step 1: Find the least common multiple LCM of 6 and 4. The LCM of 6 and 4 is Answer: Example 6: Analysis: Convert these fractions to equivalent fractions with a common denominator in order to compare them.

Step 1: Find the least common multiple LCM of 9 and 3. Analysis: Step 2: Convert each fraction to an equivalent fraction with a denominator of 9. Answer: In this lesson, we have compared fractions with like denominators and with unlike denominators.

Jill jogged for three-tenths of a mile and Jane jogged for seven-tenths of a mile. Which girl jogged farther? A magazine sells one advertisement that is seven-eighths of a page and another advertisement that is five-sixths of a page.

What is the LCD of these two fractions? Which fraction from exercise 2 represents the larger advertisement? Write your answer in lowest terms. Compare two-ninths and one-sixth by using the LCD to write equivalent fractions.

Then write the smaller fraction in lowest terms. Which is greater: nine-tenths or nine-ninths? Write the fraction below. Lessons on Fractions 1. Introduction to Fractions 2. Classifying Fractions 3. Equivalent Fractions 4.

Simplifying Fractions 5. Comparing Fractions 6. Ordering Fractions 7. Converting Fractions to Mixed Numbers 8. Converting Mixed Numbers to Fractions 9. Practice Exercises Challenge Exercises Try our Fractions Worksheet Generator. Example Convert these fractions to equivalent fractions with a common denominator in order to compare them. Find the least common multiple LCM of 8 and Convert each fraction to an equivalent fraction with a denominator of Find the least common multiple LCM of 6 and 4.

Find the least common multiple LCM of 9 and 3. Convert each fraction to an equivalent fraction with a denominator of 9. To compare two fractions:. Step 1: Compare denominators. If they are different, rewrite one or both fractions with a common denominator.

Step 2: Check the numerators. If the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction. And, as noted above, if the numerators are equal, the fractions are equivalent. Is , or is? You cannot compare the fractions directly because they have different denominators.

You need to find a common denominator for the two fractions. Since 5 is a factor of 20, you can use 20 as the common denominator. Multiply the numerator and denominator by 4 to create an equivalent fraction with a denominator of Compare the two fractions. If , then , since. Which of the following is a true statement? They are equivalent. Finding a common denominator, you can compare to , and see that , which means.

Simplifying , you get the equivalent fraction. You find that , so as well. You can compare two fractions with like denominators by comparing their numerators. The fraction with the greater numerator is the greater fraction, as it contains more parts of the whole. If two fractions have the same denominator, then equal numerators indicate equivalent fractions. Example Problem Are and equivalent fractions?

Answer and are not equivalent fractions. Example Problem Determine whether and are equivalent fractions. Multiply the numerator and denominator of by 10 to get 60 in the denominator. Divide the numerator and denominator by the common factor B Incorrect. C Correct. D Incorrect. Answer If , then , since.