Convert the repeating decimal below into a fraction.
0.234

0.234 = 117 / 500

as a fraction

To convert the decimal 0.234 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.234 = 0.234/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

0.234/1

= (0.234 × 1000)

(1 × 1000)

= 234

1000

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(234,1000) = 2. So,

(234÷2)

(1000÷2)

= 117/500

when reduced to the simplest form.

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x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)