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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