Sure, let's solve the given equation step by step:
[tex]\[\frac{2}{4} \times 4 = \frac{8}{16}\][/tex]
1. Simplify the left side of the equation:
First, look at the fraction [tex]\(\frac{2}{4}\)[/tex]. Simplify this fraction by finding the greatest common divisor (GCD) of 2 and 4, which is 2.
[tex]\[
\frac{2}{4} = \frac{2 \div 2}{4 \div 2} = \frac{1}{2}
\][/tex]
Now, multiply [tex]\(\frac{1}{2}\)[/tex] by 4:
[tex]\[
\frac{1}{2} \times 4 = \frac{1 \times 4}{2} = \frac{4}{2}
\][/tex]
Simplify [tex]\(\frac{4}{2}\)[/tex]:
[tex]\[
\frac{4}{2} = 2
\][/tex]
So, the left side of the equation simplifies to 2.
2. Simplify the right side of the equation:
Look at the fraction [tex]\(\frac{8}{16}\)[/tex]. Simplify this fraction by finding the greatest common divisor (GCD) of 8 and 16, which is 8.
[tex]\[
\frac{8}{16} = \frac{8 \div 8}{16 \div 8} = \frac{1}{2}
\][/tex]
3. Compare the simplified results from both sides:
The left side simplifies to 2 and the right side simplifies to [tex]\(\frac{1}{2}\)[/tex].
Thus, the final simplified results are 2 for the left side and 0.5 (which is [tex]\(\frac{1}{2}\)[/tex]) for the right side. So the equation [tex]\(\frac{2}{4} \times 4 = \frac{8}{16}\)[/tex] simplifies to:
[tex]\[
2 = 0.5
\][/tex]
