Answer :
Sure! Let's go through the steps to solve the problem:
We need to multiply [tex]\(235\)[/tex] by [tex]\(\frac{2}{3}\)[/tex]. Here's how you can do that step-by-step:
1. Multiply the Whole Number by the Numerator:
First, take the whole number [tex]\(235\)[/tex] and multiply it by the numerator of the fraction. So, multiply:
[tex]\(235 \times 2 = 470\)[/tex]
2. Divide the Product by the Denominator:
Next, take the result from the previous step and divide it by the denominator of the fraction, which is [tex]\(3\)[/tex]:
[tex]\(\frac{470}{3} = 156.66666666666666\)[/tex]
This number is a repeating decimal, meaning it repeats indefinitely.
3. Identify the Equivalent Fraction:
Since 156.666666... doesn't directly match any of the options, let's look at the choices given. The value can be thought of as a fraction, where:
[tex]\(156.666666... = 156 + \frac{2}{3}\)[/tex]
The closest fraction form is [tex]\(\frac{470}{3}\)[/tex]. This represents the same repeating number in fractional form. However, none of the provided choices match this exactly since they are all smaller and simpler fractions.
Thus, given the options, there isn't an exact match, but this explains how we arrived at the calculation.
We need to multiply [tex]\(235\)[/tex] by [tex]\(\frac{2}{3}\)[/tex]. Here's how you can do that step-by-step:
1. Multiply the Whole Number by the Numerator:
First, take the whole number [tex]\(235\)[/tex] and multiply it by the numerator of the fraction. So, multiply:
[tex]\(235 \times 2 = 470\)[/tex]
2. Divide the Product by the Denominator:
Next, take the result from the previous step and divide it by the denominator of the fraction, which is [tex]\(3\)[/tex]:
[tex]\(\frac{470}{3} = 156.66666666666666\)[/tex]
This number is a repeating decimal, meaning it repeats indefinitely.
3. Identify the Equivalent Fraction:
Since 156.666666... doesn't directly match any of the options, let's look at the choices given. The value can be thought of as a fraction, where:
[tex]\(156.666666... = 156 + \frac{2}{3}\)[/tex]
The closest fraction form is [tex]\(\frac{470}{3}\)[/tex]. This represents the same repeating number in fractional form. However, none of the provided choices match this exactly since they are all smaller and simpler fractions.
Thus, given the options, there isn't an exact match, but this explains how we arrived at the calculation.
