To solve for [tex]\(\frac{5}{6}\)[/tex] of [tex]\(\frac{1}{2}\)[/tex], we need to find the product of these two fractions. Here’s the step-by-step process:
1. Understand the Problem:
We are required to multiply two fractions: [tex]\(\frac{5}{6}\)[/tex] and [tex]\(\frac{1}{2}\)[/tex].
2. Set Up the Multiplication:
Multiplication of fractions is done by multiplying the numerators together and the denominators together. So we represent the multiplication as:
[tex]\[
\frac{5}{6} \times \frac{1}{2}
\][/tex]
3. Multiply the Numerators:
The numerators in our fractions are 5 and 1. We multiply these together:
[tex]\[
5 \times 1 = 5
\][/tex]
4. Multiply the Denominators:
The denominators in our fractions are 6 and 2. We multiply these together:
[tex]\[
6 \times 2 = 12
\][/tex]
5. Combine the Results:
The product of the fractions [tex]\(\frac{5}{6}\)[/tex] and [tex]\(\frac{1}{2}\)[/tex] is:
[tex]\[
\frac{5 \times 1}{6 \times 2} = \frac{5}{12}
\][/tex]
6. Convert to Decimal (if needed):
To further understand the value, we convert the fraction to a decimal by performing the division:
[tex]\[
\frac{5}{12} \approx 0.4166666666666667
\][/tex]
Therefore, [tex]\(\frac{5}{6}\)[/tex] of [tex]\(\frac{1}{2}\)[/tex] is [tex]\(\frac{5}{12}\)[/tex], which is approximately equal to [tex]\(0.4166666666666667\)[/tex].
