Identify Decimal Places: To express the decimal 0.0346 as a fraction, we first need to identify how many decimal places there are to the right of the decimal point. There are four decimal places, which means the decimal can be expressed over 10,000 (since 104=10,000).
Write as Fraction: Now, we write 0.0346 as a fraction with 10,000 as the denominator: 0.0346=10,000346. This is because moving the decimal point four places to the right turns 0.0346 into 346.
Simplify Using GCD: The fraction 10,000346 can be simplified by finding the greatest common divisor (GCD) of 346 and 10,000 and then dividing both the numerator and the denominator by the GCD. The GCD of 346 and 10,000 is 2.
Divide by GCD: Divide both the numerator and the denominator by the GCD (2): 346÷2=173 and 10,000÷2=5,000. So, the simplified fraction is 173/5,000.
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