We appreciate your visit to Write tex 1 64 tex as a mixed number in simplest form tex 1 64. 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 :
To convert [tex]\(-1.64\)[/tex] into a mixed number in simplest form, follow these steps:
1. Identify the integer part: The integer part of [tex]\(-1.64\)[/tex] is [tex]\(-1\)[/tex].
2. Separate the decimal part:
- The decimal part is [tex]\(-0.64\)[/tex] because [tex]\(-1.64 - (-1) = -0.64\)[/tex].
3. Convert the decimal part to a fraction:
- Consider the decimal part [tex]\(-0.64\)[/tex]. First, ignore the negative sign and convert [tex]\(0.64\)[/tex] to a fraction.
- [tex]\(0.64\)[/tex] is equivalent to [tex]\(\frac{64}{100}\)[/tex].
4. Simplify the fraction:
- Find the greatest common divisor (GCD) of 64 and 100, which is 4.
- Simplify [tex]\(\frac{64}{100}\)[/tex] by dividing both the numerator and the denominator by 4:
[tex]\[
\frac{64 \div 4}{100 \div 4} = \frac{16}{25}
\][/tex]
5. Reintroduce the negative sign:
- Since we started with a negative decimal, [tex]\(-0.64\)[/tex] as a fraction is [tex]\(-\frac{16}{25}\)[/tex].
6. Combine the integer part and the fraction:
- The mixed number is [tex]\(-1 \frac{16}{25}\)[/tex].
Therefore, [tex]\(-1.64\)[/tex] as a mixed number in simplest form is [tex]\(-1 \frac{16}{25}\)[/tex].
1. Identify the integer part: The integer part of [tex]\(-1.64\)[/tex] is [tex]\(-1\)[/tex].
2. Separate the decimal part:
- The decimal part is [tex]\(-0.64\)[/tex] because [tex]\(-1.64 - (-1) = -0.64\)[/tex].
3. Convert the decimal part to a fraction:
- Consider the decimal part [tex]\(-0.64\)[/tex]. First, ignore the negative sign and convert [tex]\(0.64\)[/tex] to a fraction.
- [tex]\(0.64\)[/tex] is equivalent to [tex]\(\frac{64}{100}\)[/tex].
4. Simplify the fraction:
- Find the greatest common divisor (GCD) of 64 and 100, which is 4.
- Simplify [tex]\(\frac{64}{100}\)[/tex] by dividing both the numerator and the denominator by 4:
[tex]\[
\frac{64 \div 4}{100 \div 4} = \frac{16}{25}
\][/tex]
5. Reintroduce the negative sign:
- Since we started with a negative decimal, [tex]\(-0.64\)[/tex] as a fraction is [tex]\(-\frac{16}{25}\)[/tex].
6. Combine the integer part and the fraction:
- The mixed number is [tex]\(-1 \frac{16}{25}\)[/tex].
Therefore, [tex]\(-1.64\)[/tex] as a mixed number in simplest form is [tex]\(-1 \frac{16}{25}\)[/tex].
Thanks for taking the time to read Write tex 1 64 tex as a mixed number in simplest form tex 1 64. 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
