Question

Help I'm not good at fractions and pls explain how you got the answer

Answer 1

1/36

Explanation:

(1/4 times 2/3)^2

cancel out greatest common factor (2)

(1/2 times 1/3)^2

multiply

(1/6)^2

1/36

Answer 2

`\textsf{B)}\quad (1)/(36)`

Explanation:

`\textsf{Simplify}\quad \left(\frac14\right)^2 \cdot \left(\frac23\right)^2`

`\textsf{Apply exponent rule}\quad \left((a)/(b)\right)^n=(a^n)/(b^n):`

`\implies \left((1^2)/(4^2)\right) \cdot \left((2^2)/(3^2)\right)`

`\implies (1)/(16) \cdot (4)/(9)`

`\textsf{Apply the fraction rule}\quad (a)/(b) \cdot (c)/(d)=(a \cdot c)/(b \cdot d):`

`\implies (1\cdot 4)/(16 \cdot 9)`

`\implies (4)/(144)`

`\textsf{Simplify by dividing the numerator and denominator by the GCF of 4}:`

`\implies (4 / 4)/(144 / 4)`

`\implies (1)/(36)`