Question

0.571428 BAR ON 571428 convert the following decimal numbers In the form m /n answer is 4/7 how explain it please don't answer for earning points answer for help please ​

Answer 1

Answer:

571428/999999

Answer 2

Answer:

The answer will be $\frac{4}{7}$ if we convert the 0.571428 into the decimal number in the form of $\frac{m}{n}$

Step-by-step explanation:

We first let 0.571428 (571428 being repeated) be x

x= 0.571428 and marked as equation(1)

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 6 numbers to the right of the decimal point, place the decimal number over $10^{6}$ (1000000)

Since x  is recurring in 6 decimal places, we multiply it by $10^{6}$

we get, 1000000x = 571428.571428 and marked as equation(2)

Next, we subtract them.

10000000x - x = 571428.574128- 0.571428

999999x= 571428

.Lastly, we divide both sides by 999999 to get x as fraction.

therefore, x = $\frac{571428}{999999}$

if we simplify the above equation we get the value of x as:

x= $\frac{4}{7}$

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