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