Change the decimal to a reduced fraction.

Question

Quizplus · Accepted Answer

In order to convert a decimal to a fraction, we need to look at the digits after the decimal point. The given decimal has 16 digits after the decimal point which suggests it is a repeating decimal. To convert a repeating decimal to a fraction, we need to find the repeating pattern and put it over the appropriate number of nines. In this case, the repeating pattern is "1032" and there are four digits in the pattern. Therefore, the fraction is "1032/9999". To reduce this fraction, we need to find the greatest common factor (GCF) between the numerator and denominator. The GCF of 1032 and 9999 is 3. Dividing both by this number we get "344/3333". This is equivalent to answer choice D. To change a decimal to a fraction we count the number of digits to the right of the decimal point. In this case, there are 11 digits. Therefore, the denominator will be 10 to the power of 11 (because we want to represent 11 decimal places). The numerator will be the number without the decimal point. The reduced fraction is obtained by dividing both the numerator and denominator by their common factor of 11ebb939_4a41_e91e_9e6c_c958a1d77caa_TB8446_11.

Change the Decimal to a Reduced Fraction