Solve the Multiplication Problem: 6 × 3/4

Question

$6\times\frac{3}{4}=$

00:00 Solve

00:03 Let's move the product to the numerator

00:08 Let's calculate the product

00:11 Now let's convert to a mixed fraction

00:14 Let's break down 18 into 16 plus 2

00:19 Let's break down the fraction into a whole number and remainder

00:27 Let's convert from improper fraction to whole number and combine with mixed fraction

00:38 Let's reduce what we can

00:46 And this is the solution to the question

To solve the problem $6 \times \frac{3}{4}$ , we follow these steps:

Step 1: Express the integer 6 as a fraction: $\frac{6}{1}$ .
Step 2: Multiply the fractions: $\frac{6}{1} \times \frac{3}{4}$ .
Step 3: Multiply the numerators: $6 \times 3 = 18$ .
Step 4: Multiply the denominators: $1 \times 4 = 4$ .
Step 5: Form the resulting fraction: $\frac{18}{4}$ .
Step 6: Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 2: $\frac{18}{4} \div \frac{2}{2} = \frac{9}{2}$ .
Step 7: Convert $\frac{9}{2}$ to a mixed number: Divide 9 by 2 to get 4 with a remainder of 1, thus $\frac{9}{2} = 4\frac{1}{2}$ .

Therefore, the solution to the problem is $4\frac{1}{2}$ .

$4\frac{1}{2}$