69. Which part contains the fractions in ascending order ? $$ \begin{array}{llll} ext { (a) } \frac{11}{14}, \frac{16}{19}, \frac{19}{21} 3 & ext { (b) } \frac{16}{19}, \frac{11}{14}, \frac{19}{21} 3 & ext { (c) } \frac{16}{19}, \frac{19}{21}, \frac{11}{14} & ext { (d) } \frac{19}{21}, \frac{11}{14}, \frac{16}{19}\end{array} $$

Question

69. Which part contains the fractions in ascending order ? $$ \begin{array}{llll}	ext { (a) } \frac{11}{14}, \frac{16}{19}, \frac{19}{21} 3 & 	ext { (b) } \frac{16}{19}, \frac{11}{14}, \frac{19}{21} 3 & 	ext { (c) } \frac{16}{19}, \frac{19}{21}, \frac{11}{14} & 	ext { (d) } \frac{19}{21}, \frac{11}{14}, \frac{16}{19}\end{array} $$

UpStudy AI · Accepted Answer

To determine which part contains the fractions in ascending order, we need to compare the fractions $$ \frac{11}{14}, \frac{16}{19}, $$ and $$ \frac{19}{21} $$.

We can compare these fractions by converting them to a common denominator or by converting them to decimal form.

1. **Convert to decimal form:**
   - $$ \frac{11}{14} \approx 0.7857 $$
   - $$ \frac{16}{19} \approx 0.8421 $$
   - $$ \frac{19}{21} \approx 0.9048 $$

Now we can see the approximate decimal values:
- $$ \frac{11}{14} \approx 0.7857 $$
- $$ \frac{16}{19} \approx 0.8421 $$
- $$ \frac{19}{21} \approx 0.9048 $$

2. **Order the fractions based on their decimal values:**
   - $$ \frac{11}{14} < \frac{16}{19} < \frac{19}{21} $$

Thus, the fractions in ascending order are:
- $$ \frac{11}{14}, \frac{16}{19}, \frac{19}{21} $$

Now, we can check the options:
- (a) $$ \frac{11}{14}, \frac{16}{19}, \frac{19}{21} $$ - **Correct**
- (b) $$ \frac{16}{19}, \frac{11}{14}, \frac{19}{21} $$ - Incorrect
- (c) $$ \frac{16}{19}, \frac{19}{21}, \frac{11}{14} $$ - Incorrect
- (d) $$ \frac{19}{21}, \frac{11}{14}, \frac{16}{19} $$ - Incorrect

The correct answer is **(a)** $$ \frac{11}{14}, \frac{16}{19}, \frac{19}{21} $$.
The correct answer is (a) $$ \frac{11}{14}, \frac{16}{19}, \frac{19}{21} $$.

Which part contains the fractions in ascending order ?

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