Question 17 \( \frac{3}{4} \div 9 \) Subse. Simplify your answer and write as a proper fraction, improper fraction, or whole number. Subs
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The Deep Dive
To solve the division of fractions, you can think of it as multiplying by the reciprocal. So, \( \frac{3}{4} \div 9 \) is the same as \( \frac{3}{4} \times \frac{1}{9} \). When you multiply, you multiply the numerators and denominators: \( \frac{3 \times 1}{4 \times 9} = \frac{3}{36} \). Now, simplify \( \frac{3}{36} \) by dividing both the numerator and the denominator by 3, resulting in \( \frac{1}{12} \). If you ever struggle with dividing by whole numbers while working with fractions, remember that whole numbers can be converted into fractions! For example, instead of thinking of dividing by \( 9 \), you can use \( 9 \) as \( \frac{9}{1} \). So the division \( \frac{3}{4} \div 9 \) can also be set up as \( \frac{3}{4} \times \frac{1}{9} \) with no need for complicated steps! Now you’re ready to tackle other fraction problems like a pro, so don’t forget to keep practicing!