Which of the following options is correct?

Options

A. 14 tenths 4 thousandths = 0.144
B. 2 tenths 13 hundredths = 0.213
C. 2 tenths 4 hundredths = 0.024
D. 7 tenths 17 hundredths = 0.87

Answer

To solve the problem of determining which option is correct, we will evaluate each option step by step.

### Step 1: Evaluate the first option
The first option is \( \frac{14}{10} + \frac{4}{100} \).

1. Convert \( \frac{14}{10} \) to decimal:
\[ \frac{14}{10} = 1.4 \]

2. Convert \( \frac{4}{100} \) to decimal:
\[ \frac{4}{100} = 0.04 \]

3. Add the two decimal values:
\[ 1.4 + 0.04 = 1.44 \]

### Step 2: Evaluate the second option
The second option is \( \frac{2}{10} + \frac{13}{100} \).

1. Convert \( \frac{2}{10} \) to decimal:
\[ \frac{2}{10} = 0.2 \]

2. Convert \( \frac{13}{100} \) to decimal:
\[ \frac{13}{100} = 0.13 \]

3. Add the two decimal values:
\[ 0.2 + 0.13 = 0.33 \]

### Step 3: Evaluate the third option
The third option is \( \frac{2}{10} + \frac{4}{100} \).

1. Convert \( \frac{2}{10} \) to decimal:
\[ \frac{2}{10} = 0.2 \]

2. Convert \( \frac{4}{100} \) to decimal:
\[ \frac{4}{100} = 0.04 \]

3. Add the two decimal values:
\[ 0.2 + 0.04 = 0.24 \]

### Step 4: Evaluate the fourth option
The fourth option is \( \frac{7}{10} + \frac{17}{100} \).

1. Convert \( \frac{7}{10} \) to decimal:
\[ \frac{7}{10} = 0.7 \]

2. Convert \( \frac{17}{100} \) to decimal:
\[ \frac{17}{100} = 0.17 \]

3. Add the two decimal values:
\[ 0.7 + 0.17 = 0.87 \]

### Conclusion
After evaluating all options:
- Option 1: \( 1.44 \)
- Option 2: \( 0.33 \)
- Option 3: \( 0.24 \)
- Option 4: \( 0.87 \)

The correct answer is **Option 4: 0.87**.