Question

Simplify $4\frac{7}{9} \times 7\frac{8}{9} \times 81 + 2\frac{3}{4}$.

• A. 3055.25
• B. 3053.25
• C. 3053.75
• D. 3055.75

Answer 1

Answer:

D. 3055.75

The final simplified value is 3055.75

Following the BODMAS / PEMDAS rule, we perform the multiplication before the addition.

## Step 1: Convert mixed fractions into improper fractions

* $4\frac{7}{9} = \frac{(4 \times 9) + 7}{9} = \frac{43}{9}$

* $7\frac{8}{9} = \frac{(7 \times 9) + 8}{9} = \frac{71}{9}$

## Step 2: Solve the multiplication part

Substitute these improper fractions into the multiplication segment:

$\frac{43}{9} \times \frac{71}{9} \times 81$

Notice that $9 \times 9 = 81$ in the denominator perfectly cancels out the whole number $81$ in the numerator:

$\frac{43 \times 71}{81} \times 81 = 43 \times 71$

Now, compute the product:

$43 \times 71 = 3053$

## Step 3: Perform the final addition

Add the remaining mixed fraction to the result:

$3053 + 2\frac{3}{4} = 3055\frac{3}{4}=3055.75$