.5333333 repeating as a fraction

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!

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