Question

What is the value of 5 / (2/3)?

• A. 10/3
• B. 3/10
• C. 2/15
• D. 3/2
• E. 15/2

Hint:

Remember the phrase "Keep, Change, Flip" for dividing fractions. Keep the first number, Change the division sign to multiplication, and Flip the second fraction to its reciprocal.

Answer 1

Answer: (E)

Step 1: Understanding the Concept:
The problem involves dividing a whole number by a fraction.
Step 2: Key Formula or Approach:
To divide by a fraction, you multiply by its reciprocal. The reciprocal of a fraction is found by inverting it (swapping the numerator and the denominator).
\[ a \div \frac{b}{c} = a \times \frac{c}{b} \]
Step 3: Detailed Explanation:
The expression is \(5 \div \frac{2}{3}\).
The reciprocal of \(\frac{2}{3}\) is \(\frac{3}{2}\).
Change the division to multiplication using the reciprocal:
\[ 5 \times \frac{3}{2} \]
Multiply the whole number by the numerator of the fraction:
\[ \frac{5 \times 3}{2} = \frac{15}{2} \]
Step 4: Final Answer:
The value is \(\frac{15}{2}\), which corresponds to option (E).