Question

find the value of the following \\(\frac{3}{4}\\) of \\(\frac{1}{4}\\)
\\(\frac{3}{4}\\) of \\(\frac{1}{4}=\\)
multiply the fractions. express your answer in its simplest form where possible.
(a) \\(\frac{2}{5} \times \frac{1}{3}=\\)
(b) \\(\frac{3}{7} \times \frac{2}{3}=\\)
(c) \\(\frac{9}{8} \times \frac{4}{5}=\\)
(d) \\(\frac{4}{9} \times \frac{3}{4}=\\)

Explanation:

Part 1: Find $\frac{3}{4}$ of $\frac{1}{4}$

Step 1: Recall the meaning of "of"

"Of" in math means multiplication, so we calculate $\frac{3}{4} \times \frac{1}{4}$.

Step 2: Multiply the numerators and denominators

Multiply the numerators: $3 \times 1 = 3$. Multiply the denominators: $4 \times 4 = 16$. So $\frac{3}{4} \times \frac{1}{4} = \frac{3}{16}$.

Step 1: Multiply numerators and denominators

Multiply numerators: $2 \times 1 = 2$. Multiply denominators: $5 \times 3 = 15$. So $\frac{2}{5} \times \frac{1}{3} = \frac{2}{15}$.

Step 1: Multiply numerators and denominators

Multiply numerators: $3 \times 2 = 6$. Multiply denominators: $7 \times 3 = 21$.

Step 2: Simplify the fraction

Divide numerator and denominator by their greatest common divisor, which is 3. $\frac{6 \div 3}{21 \div 3} = \frac{2}{7}$.

Answer:

$\frac{3}{16}$

Part 2: Multiply the fractions

(a) $\frac{2}{5} \times \frac{1}{3}$