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.
Sure! Here are two word problems involving fractions, along with step-by-step solutions for addition and subtraction:
Addition Word Problem:
Emma has 3/4 of a pizza, and Jake has 5/6 of a pizza. How much pizza do they have altogether?
Solution:
Step 1: Find a common denominator:
The common denominator for 4 and 6 is 12.
Step 2: Convert the fractions to have the common denominator:
3/4 = (3/4) * (3/3) = 9/12
5/6 = (5/6) * (2/2) = 10/12
Step 3: Add the two fractions:
9/12 + 10/12 = 19/12
Step 4: Simplify the fraction (if possible):
19/12 is an improper fraction. It can be simplified to the mixed number 1 7/12.
Step 5: Rewrite the solution as a decimal:
The fraction 1 7/12 can be written as a nonterminating decimal: 1.5833... (repeating).
Subtraction Word Problem:
Max had 2.3 liters of water, but he drank 1.25 liters. How much water does he have now?
Solution:
Step 1: Line up the decimal points:
2.30
- 1.25
Step 2: If needed, convert the decimals to have equal digits after the decimal point:
2.30 and 1.25 already have equal digits after the decimal point.
Step 3: Subtract the two decimals:
2.30 - 1.25 = 1.05
Step 4: Rewrite the solution as a decimal:
The solution, 1.05, is already a terminating decimal.
I hope these examples help you understand how to add and subtract decimals using fractions!
Sure! I can help you with that. Let's start with an addition word problem:
Addition Word Problem:
John had 2/3 of a pizza and Sally had 1/4 of a pizza. How much pizza did they have together?
To solve this problem, you need to add the fractions. Here's how you can do it:
Step 1: Find a common denominator. In this case, the common denominator will be 12 (the least common multiple of 3 and 4).
Step 2: Convert the fractions to have the same denominator. Multiply 2/3 by 4/4 and 1/4 by 3/3:
2/3 * 4/4 = 8/12
1/4 * 3/3 = 3/12
Step 3: Add the fractions:
8/12 + 3/12 = 11/12
So, they had 11/12 of a pizza together. Now, let's rewrite the solution as a decimal:
To rewrite 11/12 as a decimal, divide 11 by 12:
11 ÷ 12 = 0.9167
Therefore, the solution to the problem, written as a decimal, is approximately 0.9167.
Now, let's move on to a subtraction word problem:
Subtraction Word Problem:
Lisa had 2.5 liters of water and she used 1.75 liters. How much water does she have left?
To solve this problem, you need to subtract the given amounts. Here's how you can do it:
Step 1: Align the decimal points. Since both numbers have the same number of decimal places, you can directly subtract the values.
Step 2: Subtract the numbers:
2.50 - 1.75 = 0.75
So, Lisa has 0.75 liters of water left. The solution is already in decimal form.
I hope this helps! Let me know if you have any further questions.