Write 4.3 as a mixed number and as an improper fraction. Write your answers in simplest form.

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UpStudy AI · Accepted Answer

To express **4.3** as a mixed number and as an improper fraction in simplest form, follow these steps:

### 1. Mixed Number

A mixed number consists of an integer and a proper fraction.

- **Step 1:** Identify the whole number part.  
  The whole number part of 4.3 is **4**.

- **Step 2:** Convert the decimal part to a fraction.  
  The decimal **0.3** is equivalent to **3/10**.

- **Step 3:** Combine them into a mixed number.  
  So, **4.3** as a mixed number is:
  
  $$
  4\,\dfrac{3}{10}
  $$

### 2. Improper Fraction

An improper fraction has a numerator larger than or equal to the denominator.

- **Step 1:** Convert the mixed number to an improper fraction.  
  Multiply the whole number by the denominator and add the numerator:
  
  $$
  (4 \times 10) + 3 = 40 + 3 = 43
  $$
  
- **Step 2:** Place the result over the original denominator:
  
  $$
  \dfrac{43}{10}
  $$
  
So, **4.3** as an improper fraction is:

$$
\dfrac{43}{10}
$$

### Summary

- **Mixed Number:** $$ 4\,\dfrac{3}{10} $$
- **Improper Fraction:** $$ \dfrac{43}{10} $$

Both representations are in their simplest forms.
4.3 as a mixed number is $$4\,\dfrac{3}{10}$$ and as an improper fraction is $$\dfrac{43}{10}$$.

Write 4.3 as a mixed number and as an improper fraction. Write your answers in simplest form.

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