Question

Arrange the given fractions in ascending order\(\frac{15}{19}\), 718,\(\frac{17}{23}\)and\(\frac{16}{21}\)?

• A. \(\frac{16}{21}\),\(\frac{7}{8}\),\(\frac{17}{23}\),\(\frac{15}{19}\)
• B. \(\frac{17}{23}\),\(\frac{15}{19}\),\(\frac{16}{21}\),\(\frac{7}{8}\)
• C. \(\frac{17}{23}\),\(\frac{16}{21}\),\(\frac{15}{19}\),\(\frac{7}{8}\)
• D. \(\frac{16}{21}\),\(\frac{17}{23}\),\(\frac{7}{8}\),\(\frac{15}{19}\)

Answer 1

The Correct Option is C

Arranging the Given Fractions in Ascending Order 

Step 1: Convert the Fractions to Decimal Form

• \[ \frac{15}{19} \approx 0.789 \]
• \[ \frac{7}{8} = 0.875 \]
• \[ \frac{17}{23} \approx 0.739 \]
• \[ \frac{16}{21} \approx 0.762 \]

Step 2: Arrange the Decimals in Ascending Order

\[ 0.739 < 0.762 < 0.789 < 0.875 \]

Step 3: Convert Back to Fractions

Thus, the correct order is:

\[ \frac{17}{23}, \frac{16}{21}, \frac{15}{19}, \frac{7}{8} \]

Final Answer:

Thus, the correct answer is (C).