Question

Express the following decimal in the form of p by q qustion is 0.585 bar on 585

A) 58/99
B) 58/100
C) 58/101
D) 58/102

Answer 1

To express 0.585 bar as a fraction, convert the repeating decimal to a variable, solve for it, and simplify the resulting fraction. The answer is 585/999.415.therefore the correct option is a .

Step-by-step explanation:

To express the decimal 0.585 bar as a fraction, we need to find the value of the repeating part. Let's call the repeating part x:

1. 0.585x = x
2. 1000(0.585x) = 1000x
3. 585 + 0.585x = 1000x
4. 585 = 999.415x
5. x = 585/999.415

Simplifying the fraction, we get:

585/999.415

Therefore, the decimal 0.585 bar is equivalent to the fraction 585/999.415.

Learn more about Converting repeating decimals to fractions