Is8/5arationalnumber? Choices: (A)yes (B)no

Understand the form: Step 1: Understand the form of 8/5. 8/5 is a fraction where both numerator (8) and denominator (5) are integers. Check for simplest form: Step 2: Check if the fraction is in its simplest form. Since 8 and 5 have no common factors other than 1, 8/5 is already in its simplest form. Determine decimal type: Step 3: Determine if 8/5 is a terminating or repeating decimal. Dividing 8 by 5 gives 1.6, which is a terminating decimal. Conclude rationality: Step 4: Conclude if 8/5 is rational based on its decimal form. Since 8/5 results in a terminating decimal, it is a rational number. Rational numbers include all numbers that can be expressed as a fraction of two integers where the denominator is not zero.

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Is $\frac{8}{5}$ a rational number? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Math Problems

Grade 8

Identify rational and irrational numbers

Full solution

Q. Is

\frac{8}{5}

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand the form: Step $1$ : Understand the form of $\frac{8}{5}$ . $\frac{8}{5}$ is a fraction where both numerator ( $8$ ) and denominator ( $5$ ) are integers.
Check for simplest form: Step $2$ : Check if the fraction is in its simplest form. $\newline$ Since $8$ and $5$ have no common factors other than $1$ , $\frac{8}{5}$ is already in its simplest form.
Determine decimal type: Step $3$ : Determine if $8/5$ is a terminating or repeating decimal. $\newline$ Dividing $8$ by $5$ gives $1.6$ , which is a terminating decimal.
Conclude rationality: Step $4$ : Conclude if $\frac{8}{5}$ is rational based on its decimal form. $\newline$ Since $\frac{8}{5}$ results in a terminating decimal, it is a rational number. Rational numbers include all numbers that can be expressed as a fraction of two integers where the denominator is not zero.