Multiply mixed nu What is $$ 4 imes 1 \frac{3}{8} $$ ?

Question

Multiply mixed nu What is $$ 4 	imes 1 \frac{3}{8} $$ ?

UpStudy AI · Accepted Answer

To multiply a whole number by a mixed number, follow these steps:

**Problem:**  
Calculate $$ 4 \times 1 \frac{3}{8} $$.

**Step 1: Convert the Mixed Number to an Improper Fraction**

A mixed number consists of a whole number and a fraction. To convert it to an improper fraction:

$$
1 \frac{3}{8} = \left(1 \times 8\right) + 3 = 8 + 3 = \frac{11}{8}
$$

**Step 2: Multiply the Whole Number by the Improper Fraction**

Now, multiply the whole number (4) by the improper fraction ($$\frac{11}{8}$$):

$$
4 \times \frac{11}{8}
$$

You can write the whole number 4 as a fraction with a denominator of 1 to make multiplication easier:

$$
\frac{4}{1} \times \frac{11}{8} = \frac{4 \times 11}{1 \times 8} = \frac{44}{8}
$$

**Step 3: Simplify the Fraction**

$$
\frac{44}{8} = \frac{44 \div 4}{8 \div 4} = \frac{11}{2}
$$

**Step 4: Convert Back to a Mixed Number (If Desired)**

$$
\frac{11}{2} = 5 \frac{1}{2}
$$

**Final Answer:**

$$
4 \times 1 \frac{3}{8} = 5 \frac{1}{2}
$$
$$ 4 \times 1 \frac{3}{8} = 5 \frac{1}{2} $$

Multiply mixed nu What is \( 4 \times 1 \frac{3}{8} \) ?