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Kay wants to increase the number 9,653 by multiplying. By which number can she multiply to get a product that is greater than 9,6537​ (please show step by step explanation)

A: 4/5

B: 2/2

C: 9/4

D: 7/8


Sagot :

Answer:

Option C.

Step-by-step explanation:

Kay has the number 9.653

We want to find a number such that if we multiply this one by that number, the product will be larger than 9.6537​

First, you need to notice that 9.6537​ > 9.653

Now you need to remember that if we have a number A and a number B.

A*B > A if B > 1

A*B = A if B = 1

A*B < A if 0 < B < 1

Then we need to find an option with a number larger than 1.

Also, a rational number a/b is larger than 1 only if a > b

The only option which has an option larger than 1 is C.

C: 9/4 = 8/4 + 1/4 = 2 + 1/4