We appreciate your visit to Calculate the product of the following expression tex 2 35 cdot frac 2 3 tex Choose the correct answer A tex frac 7 30 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Certainly! Let's go through the problem step by step.
We need to calculate the product of the decimal number [tex]\(2.35\)[/tex] and the fraction [tex]\(\frac{2}{3}\)[/tex].
1. Convert the Fraction to a Decimal (optional):
- [tex]\(\frac{2}{3}\)[/tex] as a decimal is approximately [tex]\(0.6667\)[/tex]. While this can help us understand, we will use the fraction form for precise calculations.
2. Multiply the Decimal by the Fraction:
- Multiply [tex]\(2.35\)[/tex] by [tex]\(\frac{2}{3}\)[/tex].
- This can be done directly or using a calculator: [tex]\(2.35 \times \frac{2}{3} = 1.5667\)[/tex]. This is a repeating decimal, so we'll want to express it as a fraction for the options given.
3. Convert the Result to a Fraction:
- The product [tex]\(1.5667\)[/tex] can be represented more precisely as a fraction. In this case, it simplifies to [tex]\(\frac{47}{30}\)[/tex].
4. Compare to Given Options:
- From the options provided:
- [tex]\(\frac{7}{30}\)[/tex]
- [tex]\(\frac{7}{15}\)[/tex]
- [tex]\(\frac{27}{30}\)[/tex]
- We can see that none match directly the simplified fraction [tex]\(\frac{47}{30}\)[/tex].
Based on the result we calculated, [tex]\(\frac{47}{30}\)[/tex] should be the simplified fraction representation of the multiplication. It appears to be an error in the options provided since none of them match this calculation. It's a good learning point to always check work or consult additional resources if something seems off with provided multiple-choice answers.
We need to calculate the product of the decimal number [tex]\(2.35\)[/tex] and the fraction [tex]\(\frac{2}{3}\)[/tex].
1. Convert the Fraction to a Decimal (optional):
- [tex]\(\frac{2}{3}\)[/tex] as a decimal is approximately [tex]\(0.6667\)[/tex]. While this can help us understand, we will use the fraction form for precise calculations.
2. Multiply the Decimal by the Fraction:
- Multiply [tex]\(2.35\)[/tex] by [tex]\(\frac{2}{3}\)[/tex].
- This can be done directly or using a calculator: [tex]\(2.35 \times \frac{2}{3} = 1.5667\)[/tex]. This is a repeating decimal, so we'll want to express it as a fraction for the options given.
3. Convert the Result to a Fraction:
- The product [tex]\(1.5667\)[/tex] can be represented more precisely as a fraction. In this case, it simplifies to [tex]\(\frac{47}{30}\)[/tex].
4. Compare to Given Options:
- From the options provided:
- [tex]\(\frac{7}{30}\)[/tex]
- [tex]\(\frac{7}{15}\)[/tex]
- [tex]\(\frac{27}{30}\)[/tex]
- We can see that none match directly the simplified fraction [tex]\(\frac{47}{30}\)[/tex].
Based on the result we calculated, [tex]\(\frac{47}{30}\)[/tex] should be the simplified fraction representation of the multiplication. It appears to be an error in the options provided since none of them match this calculation. It's a good learning point to always check work or consult additional resources if something seems off with provided multiple-choice answers.
Thanks for taking the time to read Calculate the product of the following expression tex 2 35 cdot frac 2 3 tex Choose the correct answer A tex frac 7 30 tex. 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!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
