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write \\(\frac{29}{4}\\) as a decimal. identify the decimal as terminating or repeating.
select one:
a. 7.25; terminating
b. 2.41\\(\overline{6}\\); repeating
c. 7.2\\(\overline{3}\\); repeating
d. 7.3; terminating

Explanation:

Step1: Divide 29 by 4

To convert the fraction $\frac{29}{4}$ to a decimal, we perform the division: $29 \div 4$.
We know that $4\times7 = 28$, so $29 - 28 = 1$. Then we bring down a zero (since we are dealing with decimals) to get 10.
$4\times2 = 8$, $10 - 8 = 2$. Bring down another zero to get 20.
$4\times5 = 20$, $20 - 20 = 0$.
So putting it all together: $29\div4 = 7.25$.

Step2: Identify decimal type

A terminating decimal is a decimal that has a finite number of digits after the decimal point. Since $7.25$ has two digits after the decimal point and the division resulted in a remainder of 0, it is a terminating decimal.

Answer:

a. 7.25; terminating