Question

convert to an improper fraction
3.2

Answer 1

To convert the decimal 3.2 to an improper fraction, follow these steps:

1. **Separate the whole number from the decimal**:
- The whole number is 3.
- The decimal part is 0.2.

2. **Convert the decimal to a fraction**:
- The decimal 0.2 can be expressed as \( \frac{2}{10} \), which simplifies to \( \frac{1}{5} \).

3. **Combine the whole number with the fraction**:
- To express 3 as a fraction, you can write it as \( \frac{3}{1} \).
- Now add the whole number part and the fractional part:
\[
3 + \frac{1}{5} = \frac{3}{1} + \frac{1}{5}
\]

4. **Find a common denominator to add the fractions**:
- The common denominator between 1 and 5 is 5.
- Convert \( \frac{3}{1} \) to have a denominator of 5:
\[
\frac{3}{1} = \frac{3 \cdot 5}{1 \cdot 5} = \frac{15}{5}
\]

5. **Add the two fractions**:
\[
\frac{15}{5} + \frac{1}{5} = \frac{15 + 1}{5} = \frac{16}{5}
\]

So, the decimal 3.2 converted to an improper fraction is \( \frac{16}{5} \).