Question

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

Answer 1

Answer:

1/36

Step-by-step 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

Answer:

$\textsf{B)}\quad \dfrac{1}{36}$

Step-by-step explanation:

$\textsf{Simplify}\quad \left(\dfrac14\right)^2 \cdot \left(\dfrac23\right)^2$

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

$\implies \left(\dfrac{1^2}{4^2}\right) \cdot \left(\dfrac{2^2}{3^2}\right)$

$\implies \dfrac{1}{16} \cdot \dfrac{4}{9}$

$\textsf{Apply the fraction rule}\quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{a \cdot c}{b \cdot d}:$

$\implies \dfrac{1\cdot 4}{16 \cdot 9}$

$\implies \dfrac{4}{144}$

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

$\implies \dfrac{4 \div 4}{144 \div 4}$

$\implies \dfrac{1}{36}$