express 7.179179... as a fraction
See my solution to your previous question, then follow the same steps
https://www.jiskha.com/questions/1755158/Express-4-050505-as-a-fraction
let me know what you get.
thanks Reiny
You are welcome
For these type of questions, use your calculator to evaluate your fraction after you found it, to see if you got it correct.
plz where are u from Reiny
To express a recurring decimal as a fraction, you need to identify a pattern in the decimal part and create an equation to solve for the fraction.
Let's analyze the recurring decimal 7.179179...
Step 1: Identify the non-recurring part
In this case, the non-recurring part is 7.
Step 2: Identify the recurring part
The recurring part is 179. To determine the number of digits in the recurring part, you can subtract the non-recurring part from the entire decimal: 7.179 - 7 = 0.179.
Step 3: Create an equation to solve for the fraction
Let x be the fraction that represents the recurring decimal 0.179179...
Multiply both sides of the equation by a power of 10 to shift the decimal point:
10x = 1.791791...
Step 4: Subtract the original equation from the multiplied equation
This eliminates the recurring part:
10x - x = 1.791791... - 0.179179...
9x = 1.612612...
Step 5: Remove the decimal part from the equation
Multiply both sides of the equation by a power of 10 to shift the decimal point:
1000x = 1612.612612...
Remove the non-recurring part from the decimal:
1000x - 9x = 1612.612612... - 1.612612...
991x = 1611
Step 6: Solve for x
Divide both sides of the equation by 991 to find the value of x:
x = 1611 / 991
Therefore, the recurring decimal 7.179179... can be expressed as the fraction 1611/991.