Sure! Let's solve this step-by-step.
1. Identify the given fractions: [tex]\( \frac{3}{4} \)[/tex] and [tex]\( \frac{3}{4} \)[/tex].
2. Multiply the fractions:
[tex]\[ \frac{3}{4} \times \frac{3}{4} \][/tex]
To multiply fractions, multiply the numerators together and the denominators together:
[tex]\[ \frac{3 \times 3}{4 \times 4} = \frac{9}{16} \][/tex]
3. Determine the resulting fraction's decimal form:
[tex]\[ \frac{9}{16} = 0.5625 \][/tex]
4. Set the result equal to [tex]\( \frac{x}{x} \)[/tex] and find [tex]\( x \)[/tex]:
We know from algebra that if [tex]\( \frac{x}{x} = 0.5625 \)[/tex], then [tex]\( x \)[/tex] must be equal to the result itself because [tex]\( \frac{x}{x} = 1 \cdot 0.5625 \)[/tex]:
[tex]\[ x = 0.5625 \][/tex]
5. Summarize:
The fractions [tex]\( \frac{3}{4} \)[/tex] and [tex]\( \frac{3}{4} \)[/tex] multiply to give [tex]\( 0.5625 \)[/tex]. Therefore, [tex]\( x \)[/tex] in the equation [tex]\( \frac{3}{4} \times \frac{3}{4} = \frac{x}{x} \)[/tex] is:
[tex]\[ x = 0.5625 \][/tex]
So, the final answer is:
[tex]\[ \frac{3}{4} \times \frac{3}{4} = \frac{0.5625}{0.5625} \][/tex]
