Answer:
The answer is 8/10
Step-by-step explanation:
When you convert a decimal into a fraction especially a repeating decimal it could be a little complicated but here is what you had to do to find that answer
Step 1: Let x equal the decimal number
Which is x = 0.533333
And with 1 digit in the repeating decimal group create a second equation by multiplying both sides by 10^1 = 10
Step 2:
10x = 0.5333333
Now subtract equation 1 from equation 2
which is
10x = 5.333333
x = 0.5333333
--------------------------
9x - 4.8
We get
9x - 4.8
Step 3: Solve for x
X = 4.8/9
Multiply to eliminate 1 decimal place.
Here you multiply top and bottom by 1 10's
= 10^1 = 10
4.8/9 x 10/10 = 48/90
Step 4: Find the Greatest Common Factor (GCF) of 48 and 90,
if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 6,
48 ÷ 6/90 ÷ 6 = 8/15
Step 5: Therefore
X = 8/15
And in conclusion
0.5333333 = 8/15
So 8/15 is the answer
Have a nice day!
Hope this helped!
