Descending order of `(15)/(16), (11)/(20), (13)/(25)` is

Options

A. `(11)/(20), (15)/(16), (13)/(25)`
B. `(15)/(16),(11)/(20), (13)/(25)`
C. `(15)/(16), (13)/(25), (11)/(20)`
D. None of these

Answer

To find the descending order of the fractions \( \frac{15}{16}, \frac{11}{20}, \frac{13}{25} \), we can compare their values either by converting them to decimal form or by finding a common denominator. Here, we will use the decimal conversion method for clarity.

### Step 1: Convert each fraction to decimal form.

1. **Convert \( \frac{15}{16} \)**:
\[ \frac{15}{16} = 0.9375 \]

2. **Convert \( \frac{11}{20} \)**:
\[ \frac{11}{20} = 0.55 \]

3. **Convert \( \frac{13}{25} \)**:
\[ \frac{13}{25} = 0.52 \]

### Step 2: Compare the decimal values.

Now we have:
- \( \frac{15}{16} = 0.9375 \)
- \( \frac{11}{20} = 0.55 \)
- \( \frac{13}{25} = 0.52 \)

### Step 3: Arrange the decimal values in descending order.

From the values calculated:
- \( 0.9375 \) (which corresponds to \( \frac{15}{16} \))
- \( 0.55 \) (which corresponds to \( \frac{11}{20} \))
- \( 0.52 \) (which corresponds to \( \frac{13}{25} \))

The descending order is:
\[ \frac{15}{16}, \frac{11}{20}, \frac{13}{25} \]

### Final Answer:
The descending order of \( \frac{15}{16}, \frac{11}{20}, \frac{13}{25} \) is:
\[ \frac{15}{16}, \frac{11}{20}, \frac{13}{25} \]

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