Follow the directions in the dialog box after pressing the button. The button may be pressed to see how to do the example.
You are watching: Which is greater 2/3 or 3/4
When Compare Fractions starts, you will be given two fractions to compare, as in the example below:
You are to decide if the fraction on the left is less than, equal to, or greater than the fraction on the right. You will select for greater than. Shown in the dialog boxare your choices of , or =.
If the denominators are the same, the fraction with the larger numerator is larger and if the numerators are the same, the fraction with the larger denominator is smaller.
The following cmpare fractions illustration was made byCompare Fractions With Lines Designer:
The fractions 3⁄4 and 2⁄3 are pictured with number lines below:
Let"s make the denominators the same so that we can compare the numerators. Fractions with the same denominators are like fractions.
Here, we will introduce the idea of the least common denominator or LCD. LCD is an idea that will be used incomparing, adding, and subtracting fractions. The LCD is the smallest number that both 4 and 3 will divide into evenly. The LCD for the fractions 3⁄4 and 2⁄3 is12 because both denominators 4 and 3 divide evenly into 12.Then, write each fraction with the common denominator 12 to make them like. The illustration shows that 3⁄4 is equal to 9⁄12 and 2⁄3 is equal to 8/12. Once each fraction is renamed with a common denominator, you can compare the numerators - the larger the numerator the larger the fraction.
Since 3⁄4 is greater than 2⁄3, you will select the > symbol.
See the program RENAME IN HIGHER TERMS for more information on renaming fractions.
One way to find the LCD is to see if the smaller denominator 3 will divide evenly into the larger denominator 4. If not, multiply the larger denominator 4 by 2 to get 8. Will the smaller denominator 3divide into 8? No, so multiply the larger denominator by 3 to get 12. Will 3 divide evenly into 12? Yes, so 12 is the LCD for the denominators 3 and 4. If not, then multiply by 4, then 5, etc. until the smallerdenominator divides into the product.
Also, thinking of the pictures of the fractions will help you decide which is the larger.
Choose the (greater than) if you thinkthe fraction is larger. If correct, number lines showing the comparative sizes of the two fractions will appear.Press the button to see each fraction with the common denominator.
For more instruction on comparng fractions go come How To Compare Fractions.
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