Need help with adding subtracting decimals.
In this unit, you learned about fractions that can be written as terminating decimals and fractions that can be written as nonterminating decimals. Create an addition word problem and a subtraction word problem using fractions. Show how to find the solution to each problem. Once you find the solutions to your problems, rewrite the solutions as either a terminating or nonterminating decimal.
don't be rude. there is no purpose of you being here if you cannot help.
Sure! I can help you with adding and subtracting decimals using word problems involving fractions. Let's start with an addition problem:
Addition Word Problem:
The problem states: "John had 3/4 of a pizza, and his friend Lily had 2/3 of a pizza. How much pizza did they have together?"
To solve this problem, we need to find a common denominator for 4 and 3. The least common multiple (LCM) of 4 and 3 is 12. Therefore, we can rewrite the fractions using the common denominator of 12:
John's fraction: 3/4 = (3/4) x (3/3) = 9/12
Lily's fraction: 2/3 = (2/3) x (4/4) = 8/12
Now, we can add the fractions together:
9/12 + 8/12 = (9 + 8)/12 = 17/12
To rewrite this fraction as a decimal, we divide the numerator (17) by the denominator (12):
17 ÷ 12 = 1.42
So, the solution to this addition problem is 1.42, which is a terminating decimal.
Now, let's move on to a subtraction problem:
Subtraction Word Problem:
The problem states: "A store had 5.75 pounds of flour in stock. After using 3.25 pounds of flour, how much flour is left?"
To solve this problem, we can think of 5.75 as 5 and 75 hundredths, and 3.25 as 3 and 25 hundredths.
5.75 - 3.25 = 5 - 3 + 0.75 - 0.25 = 2 + 0.5 = 2.5
So, the solution to this subtraction problem is 2.5, which is a terminating decimal.
I hope this helps! Let me know if you have any further questions.