Answer :

Sure! Let's solve the problem step-by-step:

We need to multiply two fractions: [tex]\(\frac{1}{2}\)[/tex] and [tex]\(\frac{14}{15}\)[/tex].

Step 1: Multiply the Numerators

The numerator of the first fraction is 1, and the numerator of the second fraction is 14. So, we multiply these together:

[tex]\[ 1 \times 14 = 14 \][/tex]

Step 2: Multiply the Denominators

The denominator of the first fraction is 2, and the denominator of the second fraction is 15. Multiply these together:

[tex]\[ 2 \times 15 = 30 \][/tex]

Step 3: Write the Result as a Fraction

Now, we combine the results from Step 1 and Step 2 to get the final fraction:

[tex]\[\frac{14}{30}\][/tex]

And that's the product of the two fractions [tex]\(\frac{1}{2} \times \frac{14}{15}\)[/tex].

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