Question

Convert to a fraction in lowest terms 6.42

Answer 1

To convert the decimal 6.42 to a fraction in lowest terms, follow these steps:

1. **Separate the whole number from the decimal**:
\[
6.42 = 6 + 0.42
\]

2. **Convert the decimal (0.42) into a fraction**:
\[
0.42 = \frac{42}{100}
\]

3. **Simplify the fraction**:
Find the greatest common divisor (GCD) of 42 and 100. The GCD is 2.
\[
\frac{42 \div 2}{100 \div 2} = \frac{21}{50}
\]

4. **Combine the whole number and the fractional part**:
Rewrite 6 as a fraction:
\[
6 = \frac{6 \cdot 50}{50} = \frac{300}{50}
\]
Now add \(\frac{300}{50}\) and \(\frac{21}{50}\):
\[
\frac{300}{50} + \frac{21}{50} = \frac{300 + 21}{50} = \frac{321}{50}
\]

Thus, the decimal 6.42 as a fraction in lowest terms is:
\[
\frac{321}{50}
\]