Question

11. Reason Identify each solution as rational or
irrational
a.
$\frac{4}{7} + \frac{ - 1}{3}$

b.
$\sqrt{4} \: \frac{2}{5}$
​

Answer 1

Answer:

a. Rational; b. rational

Step-by-step explanation:

A rational number is the quotient of two integers.

a. ⁴/₇ + ⁻¹/₃

$\begin{array}{rcl}\dfrac{4}{7} + \dfrac{-1}{3} & = & \dfrac{12}{21} + \dfrac{-7}{21} \\\\& = & \dfrac{5}{21}\\\end{array}$

The solution is rational.

b. √4 ⅖

$\begin{array}{rcl}\sqrt{4} \, \dfrac{2}{5} & = & 2 \, \dfrac{2}{5}\\\\& = & \dfrac{22}{5}\\\end{array}$

The solution is rational.