Final answer:
The total height of the finished cake is found by multiplying the current height (4 3/4 yards) by 7. The multiplication equation is: ? = 4 ¾ yards × 7. After solving, we find that the finished cake will be 33 1/4 yards tall.
Step-by-step explanation:
The student asked how tall the finished cake will be if part of it that is already built is 4 3/4 yards tall and that represents 1/7 of the total height. To find the height of the finished cake, we need to determine what the full height is when 4 3/4 yards is just 1/7 of that height.
Multiplication Equation
The multiplication equation to represent the total height of the cake is:
? = 4 ¾ yards × 7
Division Equation
The division equation to find the height each part of the cake would be if divided into 7 equal parts is:
4 ¾ yards ÷ 1/7 = ?
Solution
To solve for the total height, we multiply 4 3/4 yards by 7.
First, convert 4 3/4 to an improper fraction: (4 × 4) + 3 = 19/4. Then multiply by 7:
19/4 × 7 = 19 × 7/4
= 133/4
= 33 1/4 yards
The finished cake will be 33 1/4 yards tall.