Add or subtract as shown.
one third plus one fifteenth minus StartFraction 1 Over 75 EndFraction

Let's add and subtract the given fractions:

\[
\frac{1}{3} + \frac{1}{15} - \frac{1}{75}
\]

### Step 1: Find a common denominator

The denominators are 3, 15, and 75. The least common denominator (LCD) is 75. Now, we rewrite each fraction with a denominator of 75.

\[
\frac{1}{3} = \frac{25}{75}, \quad \frac{1}{15} = \frac{5}{75}, \quad \frac{1}{75} = \frac{1}{75}
\]

### Step 2: Perform the addition and subtraction

Now we add and subtract the fractions:

\[
\frac{25}{75} + \frac{5}{75} - \frac{1}{75}
\]

First, add the numerators:

\[
25 + 5 = 30
\]

Now subtract:

\[
30 - 1 = 29
\]

So, the result is:

\[
\frac{29}{75}
\]

Thus, the solution is:

\[
\frac{29}{75}
\]

Would you like further details on this process?

Here are five related questions to explore:
1. How do you find the least common denominator (LCD)?
2. Can this fraction be simplified further?
3. How do you add and subtract fractions with unlike denominators?
4. What happens if we add a negative fraction instead of subtracting it?
5. How can you convert a fraction to a decimal?

**Tip:** Always check if your fractions can be simplified after performing operations.

Add or subtract as shown. One third plus one fifteenth minus StartFraction 1 Over 75 EndFraction

Learn how to add and subtract fractions by solving the problem: one third plus one fifteenth minus one seventy-fifth. This step-by-step guide covers finding the least common denominator (LCD) and performing basic arithmetic operations on fractions. Suitable for students in Grades 5-7.

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