Question

To make the ratio equivalent to 63:56, what number should be filled in the blank?

a) 7
b) 8
c) 9
d) 10

Answer 1

To make a ratio equivalent to 63:56, we must find a common multiplier. Dividing 63 and 56 by 7 yields the base ratio 9:8. Multiplying both by 7 gives us the equivalent ratio, therefore the number to fill in is 7.

Step-by-step explanation:

To make the ratio equivalent to 63:56, we need to find a number that when multiplied by both numbers of the given ratio, results in the numbers being proportional to 63:56. We notice that 63 and 56 are both divisible by 7.

Therefore, if we divide the given numbers by 7, we can find the base ratio, which is 9:8. Now, to find the missing number, we multiply both 9 and 8 by a certain number to see when the first part of the ratio becomes 63.

Let's perform the calculation:

• 9 × 7 = 63
• 8 × 7 = 56

This tells us that the number we should multiply by is 7 to achieve the ratio equivalent to 63:56.