- Seventeen hundredths less than a number $$ n $$ is equal to four tenths.

Question

UpStudy AI · Accepted Answer

To solve the problem:

**Statement:**  
Seventeen hundredths less than a number $$ n $$ is equal to four tenths.

**Step 1: Translate the Statement into an Equation**

- "Seventeen hundredths less than a number $$ n $$" can be written as:
  $$
  n - \frac{17}{100}
  $$
- "is equal to four tenths" translates to:
  $$
  = \frac{4}{10}
  $$
  
**Putting it all together:**
$$
n - \frac{17}{100} = \frac{4}{10}
$$

**Step 2: Solve for $$ n $$**

1. **Convert $$\frac{4}{10}$$ to hundredths to have a common denominator:**
   $$
   \frac{4}{10} = \frac{40}{100}
   $$
   
2. **Add $$\frac{17}{100}$$ to both sides to isolate $$ n $$:**
   $$
   n = \frac{40}{100} + \frac{17}{100} = \frac{57}{100}
   $$
   
3. **Convert $$\frac{57}{100}$$ to decimal form (optional):**
   $$
   n = 0.57
   $$

**Final Answer:**
$$
n = \frac{57}{100} \quad \text{or} \quad n = 0.57
$$
$$ n = 0.57 $$

Seventeen hundredths less than a
number is equal to four tenths.

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Seventeen hundredths less than a number is equal to four tenths.