Question

what can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/7?
perform the decision to check your answer.

Answer 1

Answer:

54: 90*100 =

(54*100): 90 =

5400: 90 = 60

Now we have: 54 is what percent of 90 = 60

Question: 54 is what percent of 90?

Percentage solution with steps:

Step 1: We make the assumption that 90 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=90$100%=90.

Step 4: In the same vein, $x\%=54$x%=54.

Step 5: This gives us a pair of simple equations:

$100\%=90(1)$100%=90(1).

$x\%=54(2)$x%=54(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{90}{54}$

100%

x%=

90

54

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{54}{90}$

x%

100%=

54

90

$\Rightarrow x=60\%$⇒x=60%

TTher