Math Problem: Weight of Binders
What is the weight of Denise's math binder?
Denise's math binder weighs 3/4 pound.
What is the weight of Rebecca's binder?
Rebecca's binder weighs 5/9 pound.
If they place their binders on a weight scale together, what should the scale indicate?
The scale should indicate a total weight of 1 pound and 11/36.
Answer:
To determine the combined weight of Denise's and Rebecca's binders, we need to add their weights together. Therefore, we have 3/4 pound + 5/9 pound.
First, we need to find the common denominator between 4 and 9, which is 36. Then, convert each fraction to have a denominator of 36:
3/4 pound = 27/36 pound
5/9 pound = 20/36 pound
Adding them together: 27/36 pound + 20/36 pound = 47/36 pounds.
Finally, simplify the total weight: 1 pound and 11/36.
Explanation:
When combining fractions, it is important to find a common denominator. In this case, we found that the common denominator between 4 and 9 is 36. By converting both fractions to have a denominator of 36, we were able to add them together accurately.
After adding the weights of Denise's and Rebecca's binders, we simplified the total weight to 1 pound and 11/36. This means that when placed on a weight scale together, the scale should indicate a weight of 1 pound and 11/36.
Understanding how to work with fractions and convert them to a common form is essential in solving math problems involving weights or measurements. By following the steps provided in the solution, you can accurately determine the combined weight of objects represented by fractions.