Answer :

To solve the problem of multiplying a decimal by a fraction, we need to follow these steps:

1. Convert the Decimal to a Fraction:
The decimal number 2.35 can be converted to a fraction.
[tex]\(2.35\)[/tex] is equivalent to [tex]\(\frac{235}{100}\)[/tex].

2. Multiply Fractions:
Next, multiply [tex]\(\frac{235}{100}\)[/tex] by [tex]\(\frac{2}{3}\)[/tex].
When multiplying fractions, multiply the numerators together and the denominators together:

[tex]\[
\frac{235}{100} \times \frac{2}{3} = \frac{235 \times 2}{100 \times 3} = \frac{470}{300}
\][/tex]

3. Simplify the Fraction:
Simplify [tex]\(\frac{470}{300}\)[/tex] if possible. To do this, find the greatest common divisor (GCD) of 470 and 300, which is 10, and divide both the numerator and the denominator by this number:

[tex]\[
\frac{470}{300} = \frac{470 \div 10}{300 \div 10} = \frac{47}{30}
\][/tex]

Therefore, after performing these calculations, the simplified answer is [tex]\(\frac{47}{30}\)[/tex]. This matches one of the options given in the problem, confirming it as the correct answer.

Thanks for taking the time to read Calculate 2 35 cdot frac 2 3 A frac 7 30 B frac 7 15 C frac 27 30 D frac 47 30. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada