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Multiple Choice Question Subtract (Rename Difference) Subtract: \( 2 \frac{1}{8}-1 \frac{7}{8} \). Write your answer In simplest form. O \( 1 \frac{1}{4} \) \( \frac{1}{4} \) \( \frac{1}{8} \) \( 1 \frac{1}{8} \)

Ask by Li Rodriguez. in Saudi Arabia
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The answer is \( \frac{1}{4} \).

Solution

To solve the subtraction \( 2 \frac{1}{8} - 1 \frac{7}{8} \), follow these steps: 1. **Convert Mixed Numbers to Improper Fractions:** - \( 2 \frac{1}{8} = \frac{2 \times 8 + 1}{8} = \frac{17}{8} \) - \( 1 \frac{7}{8} = \frac{1 \times 8 + 7}{8} = \frac{15}{8} \) 2. **Subtract the Improper Fractions:** \[ \frac{17}{8} - \frac{15}{8} = \frac{2}{8} \] 3. **Simplify the Result:** \[ \frac{2}{8} = \frac{1}{4} \] **Final Answer:** \[ \boxed{\dfrac{1}{4}} \]

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Mind Expander

To solve \( 2 \frac{1}{8} - 1 \frac{7}{8} \), first convert both mixed numbers to improper fractions. For \( 2 \frac{1}{8} \): \[ 2 \times 8 + 1 = 16 + 1 = 17, \text{ so } 2 \frac{1}{8} = \frac{17}{8}. \] For \( 1 \frac{7}{8} \): \[ 1 \times 8 + 7 = 8 + 7 = 15, \text{ so } 1 \frac{7}{8} = \frac{15}{8}. \] Now subtract: \[ \frac{17}{8} - \frac{15}{8} = \frac{17 - 15}{8} = \frac{2}{8} = \frac{1}{4}. \] So the answer is \( \frac{1}{4} \). Now, let’s learn some fun facts about this process! When subtracting fractions, having the same denominator makes life a whole lot easier, like how sharing a pizza works best when it's cut into even slices! Associating numerators and denominators properly is the key. Plus, keep an eye out for improper fractions—they can sometimes disguise themselves as superheroes in fractions just waiting to be simplified! Mixing whole numbers and fractions is a classic math move. Did you know that for every mixed number, there’s a related improper fraction? It’s like they’re dance partners at a math party! When converting, just remember: multiply the whole number by the denominator and add the numerator. Voilà! You’ve transformed into an improper fraction wizard!

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