Can someone help me with this problem? A) Separate the fractions 2/6, 2/5, 6/13, 1/25, 7/8, and 9/29 into two categories: those that can be written as a terminating decimal and those of non-terminating. Write an explanation of how you made your decision. B) Form a conjecture about which fraction can be expressed as terminating decimals. C) Test your conjecture on the following fractions: 6/12, 7/15, 28/140, and 0/7. D) Use the ideas of equivalent fractions and common multiples to verify your conjecture. Here is how I answered A, B, and C: A) terminating decimals: 2/5, 1/25, 7/8; non-terminating decimals: 2/6, 6/13, 9/29 B) Factor the denominator of the fraction after it is reduced to the lowest terms into a product of powers of prime numbers. If the prime factors are all 2 and 5 then the decimal will terminate. C) All form terminating decimal category except for the last one because zero divided by anything is zero. D) This one I can not figure out. So, is A, B and C correct?

Question

Can someone help me with this problem? A) Separate the fractions 2/6, 2/5, 6/13, 1/25, 7/8, and 9/29 into two categories: those that can be written as a terminating decimal and those of non-terminating. Write an explanation of how you made your decision.  B) Form a conjecture about which fraction can be expressed as terminating decimals.  C) Test your conjecture on the following fractions: 6/12, 7/15, 28/140, and 0/7.  D) Use the ideas of equivalent fractions and common multiples to verify your conjecture.  Here is how I answered A, B, and C: A) terminating decimals: 2/5, 1/25, 7/8; non-terminating decimals: 2/6, 6/13, 9/29  B) Factor the denominator of the fraction after it is reduced to the lowest terms into a product of powers of prime numbers. If the prime factors are all 2 and 5 then the decimal will terminate.  C) All form terminating decimal category except for the last one because zero divided by anything is zero.  D) This one I can not figure out. So, is A, B and C correct?