9. \( 8 \frac{1}{4}-7 \frac{3}{4}= \)
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The Deep Dive
To solve \( 8 \frac{1}{4}-7 \frac{3}{4} \), first convert the mixed numbers into improper fractions. \( 8 \frac{1}{4} \) becomes \( \frac{33}{4} \) and \( 7 \frac{3}{4} \) becomes \( \frac{31}{4} \). Now, subtract the improper fractions: \[ \frac{33}{4} - \frac{31}{4} = \frac{2}{4} = \frac{1}{2} \] So, \( 8 \frac{1}{4}-7 \frac{3}{4} = \frac{1}{2} \). Now you are a fraction wizard! It's always great to remind yourself about converting mixed numbers. Remember it’s about multiplying the whole number by the denominator and adding the numerator. Simple as pie – or should we say, simple as pie slices! Speaking of pie, did you know that fractions are essential in cooking? Whether you’re halving a recipe or measuring ingredients, understanding how to manipulate fractions makes culinary adventures much less daunting. Cooking is really just math in disguise!
