Write the following decimals as fractions.Reduce the fractions to lowest form.
13.7

Answer

To convert the decimal 13.7 into a fraction and reduce it to its lowest form, follow these steps:

### Step-by-Step Solution:

1. **Write the Decimal as a Fraction**:
- The decimal 13.7 can be expressed as a fraction by recognizing that the digit after the decimal point (7) is in the tenths place.
- Therefore, we can write:
\[ 13.7 = \frac{137}{10} \]

2. **Identify the Numerator and Denominator**:
- In the fraction \(\frac{137}{10}\), the numerator is 137 and the denominator is 10.

3. **Check for Common Factors**:
- To reduce the fraction to its lowest form, we need to check if there are any common factors between the numerator (137) and the denominator (10).
- The factors of 137 are 1 and 137 (since 137 is a prime number).
- The factors of 10 are 1, 2, 5, and 10.

4. **Determine if the Fraction Can Be Reduced**:
- Since the only common factor between 137 and 10 is 1, the fraction \(\frac{137}{10}\) is already in its lowest form.

5. **Final Answer**:
- Therefore, the decimal 13.7 as a fraction in its lowest form is:
\[ \frac{137}{10} \]