Answer :

To solve the problem of multiplying [tex]\(30\)[/tex] by the mixed number [tex]\(2 \frac{14}{15}\)[/tex], we can break it down into simpler steps:

1. Convert the Mixed Number to an Improper Fraction:
- A mixed number, like [tex]\(2 \frac{14}{15}\)[/tex], consists of a whole number and a fraction. First, we convert it to an improper fraction.
- The whole number part is 2. In terms of fifteenths, that's [tex]\(\frac{2 \times 15}{15} = \frac{30}{15}\)[/tex].
- Add this to the fractional part, [tex]\(\frac{14}{15}\)[/tex]:

[tex]\[
\frac{30}{15} + \frac{14}{15} = \frac{44}{15}
\][/tex]

2. Multiply by 30:
- Now that we have the improper fraction [tex]\(\frac{44}{15}\)[/tex], we multiply it by 30.

[tex]\[
30 \times \frac{44}{15} = \frac{30 \times 44}{15} = \frac{1320}{15}
\][/tex]

3. Simplify the Result:
- Calculate the division:

[tex]\[
\frac{1320}{15} = 88
\][/tex]

So, when we multiply 30 by [tex]\(2 \frac{14}{15}\)[/tex], the result is [tex]\(88\)[/tex].

Thus, the correct answer is option (D) 88.

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Rewritten by : Barada