Math Problem Statement
the red arrow is -4/4 then the blue arrow is 1/4 how do I subtract -4/4 to get 1/4?
Solution
To subtract from another fraction to arrive at , follow these steps:
Step-by-Step Explanation:
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Simplify :
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Set up the subtraction problem: You want to subtract from some fraction, let's call it , to get :
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Simplify the double negative: Subtracting a negative number is the same as adding:
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Solve for : To isolate , subtract 1 from both sides:
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Convert the integer to a fraction: Rewrite 1 as so that the fractions have the same denominator:
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Perform the subtraction: Subtract the numerators:
Final Answer:
The value you must start with before subtracting is . Therefore, subtracting from gives you .
Let me know if you'd like further clarification!
Here are 5 related questions to consider:
- How do you subtract fractions with different denominators?
- What is the result of subtracting from ?
- How do you handle subtraction when both fractions are negative?
- What happens if you subtract a fraction from a whole number?
- Can you explain why subtracting a negative number results in addition?
Tip: When subtracting fractions, always make sure they have the same denominator to simplify the process.
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Math Problem Analysis
Mathematical Concepts
Fractions
Subtraction of Negative Numbers
Simplification
Formulas
a - (-b) = a + b
Fraction subtraction: a/b - c/d = (ad - bc) / bd
Theorems
Double Negative Theorem
Fraction Subtraction
Suitable Grade Level
Grades 6-8