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.
Addition Word Problem:
Jessica has 3/4 of a pizza left, and she buys 2/3 of another pizza. How much pizza does she have in total?
Solution:
To find the solution, we need to add 3/4 and 2/3. We can start by finding a common denominator.
The common denominator of 4 and 3 is 12.
Now, we can rewrite the fractions with the common denominator:
3/4 = 9/12
2/3 = 8/12
Adding the fractions:
9/12 + 8/12 = 17/12
Since the numerator is larger than the denominator, the fraction is an improper fraction. To rewrite it as a decimal, we can divide 17 by 12:
17 ÷ 12 = 1 remainder 5
The answer is 1 and 5/12, which is a mixed number. To express it as a decimal, we divide 5 by 12:
5 ÷ 12 ≈ 0.4167
Therefore, the solution is 1 and 5/12 or approximately 0.4167.
Subtraction Word Problem:
John had 7/8 of a cake. He ate 3/4 of it. How much cake does he have left?
Solution:
To find the solution, we need to subtract 3/4 from 7/8.
First, we need to make the denominators the same. The common denominator of 8 and 4 is 8.
Now, we can rewrite the fractions with the common denominator:
7/8 = 7/8
3/4 = 6/8
Subtracting the fractions:
7/8 - 6/8 = 1/8
The resulting fraction is 1/8, which is a proper fraction. To express it as a decimal, we divide 1 by 8:
1 ÷ 8 = 0.125
Therefore, the solution is 1/8 or 0.125.
Sure! Here are a couple of word problems involving fractions, along with the steps to find the solution and rewrite it as a decimal.
Addition Word Problem:
Question: John has 2/3 of a pie, and Mary has 5/6 of a pie. How much pie do they have in total?
Solution:
To find the total amount of pie John and Mary have, we need to add their fractions together.
2/3 + 5/6
Step 1: Find the least common denominator (LCD) of the fractions, which is 6.
Step 2: Convert the fractions to have a common denominator of 6:
2/3 = 4/6
5/6 = 5/6
Step 3: Add the fractions:
4/6 + 5/6 = 9/6
Step 4: Simplify the fraction if needed:
9/6 can be simplified to 3/2 (by dividing both the numerator and denominator by 3).
Solution as a decimal:
To convert the fraction 3/2 to a decimal, divide the numerator (3) by the denominator (2):
3 ÷ 2 = 1.5
Therefore, John and Mary together have 1.5 pies.
Subtraction Word Problem:
Question: Sarah had 4/5 of a pizza, but she ate 1/4 of it. How much pizza does Sarah have left?
Solution:
To find the amount of pizza Sarah has left, we need to subtract the fraction she ate from the original fraction.
4/5 - 1/4
Step 1: Find the least common denominator (LCD) of the fractions, which is 20.
Step 2: Convert the fractions to have a common denominator of 20:
4/5 = 16/20
1/4 = 5/20
Step 3: Subtract the fractions:
16/20 - 5/20 = 11/20
Solution as a decimal:
To convert the fraction 11/20 to a decimal, divide the numerator (11) by the denominator (20):
11 ÷ 20 = 0.55
Therefore, Sarah has 0.55 or 55% of the pizza left.