Question

1. write a division equation, and draw a tape diagram for each question. then answer the question.

a. what fraction of 9 is 3?
b. what fraction of 5 is \\(\frac{1}{2}\\)?

Explanation:

Part (a)

Step1: Formulate division equation

To find what fraction of 9 is 3, we use division: \( 3 \div 9 \).

Step2: Simplify the fraction

Simplify \( \frac{3}{9} \) by dividing numerator and denominator by their GCD (3): \( \frac{3\div3}{9\div3}=\frac{1}{3} \).

Step3: Tape diagram (brief)

Draw a tape divided into 9 equal parts, shade 3 parts. The shaded part is \( \frac{1}{3} \) of the whole.

Step1: Formulate division equation

To find what fraction of 5 is \( \frac{1}{2} \), use division: \( \frac{1}{2} \div 5 \).

Step2: Perform division (multiply by reciprocal)

\( \frac{1}{2} \div 5=\frac{1}{2}\times\frac{1}{5}=\frac{1}{10} \).

Step3: Tape diagram (brief)

Draw a tape divided into 5 equal parts, then divide each part into 2 sub - parts (total 10 sub - parts). Shade 1 sub - part. The shaded part is \( \frac{1}{10} \) of the whole.

Answer:

The division equation is \( 3\div9 = \frac{1}{3} \), and the fraction is \( \frac{1}{3} \).

Part (b)