(73) Convert $$ 2 \frac{3}{4} $$ to a decimal number.

Question

UpStudy AI · Accepted Answer

To convert the mixed number $$ 2 \frac{3}{4} $$ to a decimal, follow these steps:

### Step 1: Understand the Mixed Number
A mixed number consists of a whole number and a fractional part. In this case:
- **Whole number:** 2
- **Fractional part:** $$ \frac{3}{4} $$

### Step 2: Convert the Fraction to a Decimal
To convert $$ \frac{3}{4} $$ to a decimal:
1. **Divide the numerator by the denominator:**
   $$
   \frac{3}{4} = 3 \div 4 = 0.75
   $$

### Step 3: Combine the Whole Number and the Decimal
Add the decimal obtained from the fraction to the whole number:
$$
2 + 0.75 = 2.75
$$

### Final Answer
$$ 2 \frac{3}{4} $$ as a decimal is **2.75**.

### Alternative Method: Using Division Directly
Alternatively, you can treat the mixed number as an improper fraction and then convert it to a decimal:

1. **Convert the mixed number to an improper fraction:**
   $$
   2 \frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}
   $$
2. **Divide the numerator by the denominator:**
   $$
   \frac{11}{4} = 11 \div 4 = 2.75
   $$

Both methods will give you the same result: **2.75**
$$ 2 \frac{3}{4} $$ is equal to **2.75**.

(73) Convert \( 2 \frac{3}{4} \) to a decimal number.

Solución de tutoría real

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Arithmetic Questions