Answer :
To solve the problem [tex]\( 235 \cdot \frac{2}{3} \)[/tex], we can follow these steps:
1. Understand the Expression: The expression involves multiplying a whole number, 235, by a fraction, [tex]\(\frac{2}{3}\)[/tex].
2. Convert the Multiplication to a Simpler Form: Multiplying by a fraction is the same as multiplying by the numerator and dividing by the denominator. So we can rewrite the expression as:
[tex]\[
235 \times \frac{2}{3} = \frac{235 \times 2}{3}
\][/tex]
3. Calculate the Numerator: Multiply 235 by 2:
[tex]\[
235 \times 2 = 470
\][/tex]
4. Divide the Result by the Denominator: Take the result from step 3 and divide by 3:
[tex]\[
\frac{470}{3} \approx 156.67
\][/tex]
5. Round the Result: The result, 156.67, is a decimal number. However, the options provided are fractions and a whole number (47), and our calculated number doesn't match any fraction option exactly.
The closest estimate that matches is 156.67, treated as approximately 156.67 (keeping in mind calculations and interpretations of result types).
Based on these calculations, the numerical answer for the expression is approximately 156.67, which does not directly match any of the given choices but indicates a decimal answer distinct from fractional options.
1. Understand the Expression: The expression involves multiplying a whole number, 235, by a fraction, [tex]\(\frac{2}{3}\)[/tex].
2. Convert the Multiplication to a Simpler Form: Multiplying by a fraction is the same as multiplying by the numerator and dividing by the denominator. So we can rewrite the expression as:
[tex]\[
235 \times \frac{2}{3} = \frac{235 \times 2}{3}
\][/tex]
3. Calculate the Numerator: Multiply 235 by 2:
[tex]\[
235 \times 2 = 470
\][/tex]
4. Divide the Result by the Denominator: Take the result from step 3 and divide by 3:
[tex]\[
\frac{470}{3} \approx 156.67
\][/tex]
5. Round the Result: The result, 156.67, is a decimal number. However, the options provided are fractions and a whole number (47), and our calculated number doesn't match any fraction option exactly.
The closest estimate that matches is 156.67, treated as approximately 156.67 (keeping in mind calculations and interpretations of result types).
Based on these calculations, the numerical answer for the expression is approximately 156.67, which does not directly match any of the given choices but indicates a decimal answer distinct from fractional options.
