To convert the decimal \(0.48\) and the fraction \(\frac{1}{4}\) into fractions with a common denominator, we first convert \(0.48\) into a fraction.

1. **Convert \(0.48\) to a fraction:**

\[
0.48 = \frac{48}{100} = \frac{12}{25}
\]

2. **The fraction \(\frac{1}{4}\) is already in its simplest form.**

3. **Add \(\frac{12}{25}\) and \(\frac{1}{4}\):**

To add these fractions, we need a common denominator:

\[
\text{Common denominator} = \text{LCM of } 25 \text{ and } 4 = 100
\]

Convert each fraction:

\[
\frac{12}{25} = \frac{12 \times 4}{25 \times 4} = \frac{48}{100}
\]

\[
\frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100}
\]

Now add the fractions:

\[
\frac{48}{100} + \frac{25}{100} = \frac{73}{100}
\]

Thus, \(0.48 + \frac{1}{4}\) as a fraction is \(\frac{73}{100}\).

Would you like details or have any questions?

Here are some related questions:

1. How do you convert any decimal to a fraction?
2. What is the least common denominator, and how do you find it?
3. How do you simplify fractions?
4. What is the process for adding fractions with different denominators?
5. How do you subtract a fraction from a decimal?

**Tip:** Always simplify fractions to their lowest terms after performing arithmetic operations to make them easier to work with.

Learn how to convert the decimal 0.48 and the fraction 1/4 into fractions with a common denominator. Step-by-step explanation with arithmetic operations included. Suitable for Grades 5-8.

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