IDNLearn.com makes it easy to find accurate answers to your specific questions. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.
Sagot :
Certainly! Let's convert each given rational number into a fraction in the form [tex]\(\frac{a}{b}\)[/tex], where [tex]\(a\)[/tex] and [tex]\(b\)[/tex] are integers.
1. Convert 0.3 to the form [tex]\(\frac{a}{b}\)[/tex]:
The decimal 0.3 can be written as [tex]\(\frac{3}{10}\)[/tex] because 3 is in the tenths place.
So, [tex]\(0.3 = \frac{3}{10}\)[/tex].
2. Convert [tex]\(2 \frac{2}{8}\)[/tex] to the form [tex]\(\frac{a}{b}\)[/tex]:
First, convert the mixed number to an improper fraction.
[tex]\[ 2 \frac{2}{8} = 2 + \frac{2}{8} \][/tex]
Next, simplify [tex]\(\frac{2}{8}\)[/tex]:
[tex]\[ \frac{2}{8} = \frac{1}{4} \implies 2 + \frac{1}{4} \][/tex]
Convert [tex]\(2\)[/tex] to a fraction with 4 as the denominator:
[tex]\[ 2 = \frac{8}{4} \implies \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \][/tex]
So, [tex]\(2 \frac{2}{8} = \frac{9}{4}\)[/tex].
3. Convert -5 to the form [tex]\(\frac{a}{b}\)[/tex]:
The integer -5 can be written as a fraction with 1 as the denominator.
[tex]\[ -5 = \frac{-5}{1} \][/tex]
4. Convert [tex]\(-1 \frac{3}{4}\)[/tex] to the form [tex]\(\frac{a}{b}\)[/tex]:
First, convert the mixed number to an improper fraction.
[tex]\[ -1 \frac{3}{4} = -1 - \frac{3}{4} \][/tex]
Convert -1 to a fraction with 4 as the denominator:
[tex]\[ -1 = \frac{-4}{4} \implies \frac{-4}{4} - \frac{3}{4} = \frac{-7}{4} \][/tex]
So, [tex]\(-1 \frac{3}{4} = \frac{-7}{4}\)[/tex].
5. Convert -4.5 to the form [tex]\(\frac{a}{b}\)[/tex]:
The decimal -4.5 can be broken down into two parts: -4 and -0.5.
[tex]\[ -4.5 = -4 - 0.5 \][/tex]
Convert -0.5 to a fraction:
[tex]\[ -0.5 = -\frac{1}{2} \][/tex]
Now, convert -4 to a fraction with 2 as the denominator:
[tex]\[ -4 = \frac{-8}{2} \implies \frac{-8}{2} - \frac{1}{2} = \frac{-9}{2} \][/tex]
So, [tex]\(-4.5 = \frac{-9}{2}\)[/tex].
6. Convert 3 to the form [tex]\(\frac{a}{b}\)[/tex]:
The integer 3 can be written as a fraction with 1 as the denominator.
[tex]\[ 3 = \frac{3}{1} \][/tex]
Using the above conversions, we get the following fractions:
1. 0.3 = [tex]\(\frac{3}{10}\)[/tex]
2. [tex]\(2 \frac{2}{8}\)[/tex] = [tex]\(\frac{9}{4}\)[/tex]
3. -5 = [tex]\(\frac{-5}{1}\)[/tex]
4. [tex]\(-1 \frac{3}{4}\)[/tex] = [tex]\(\frac{-7}{4}\)[/tex]
5. -4.5 = [tex]\(\frac{-9}{2}\)[/tex]
6. 3 = [tex]\(\frac{3}{1}\)[/tex]
So, the final results are:
1. [tex]\(0.3 = \frac{3}{10}\)[/tex]
2. [tex]\(2 \frac{2}{8} = \frac{9}{4}\)[/tex]
3. [tex]\(-5 = \frac{-5}{1}\)[/tex]
4. [tex]\(-1 \frac{3}{4} = \frac{-7}{4}\)[/tex]
5. [tex]\(-4.5 = \frac{-9}{2}\)[/tex]
6. [tex]\(3 = \frac{3}{1}\)[/tex]
1. Convert 0.3 to the form [tex]\(\frac{a}{b}\)[/tex]:
The decimal 0.3 can be written as [tex]\(\frac{3}{10}\)[/tex] because 3 is in the tenths place.
So, [tex]\(0.3 = \frac{3}{10}\)[/tex].
2. Convert [tex]\(2 \frac{2}{8}\)[/tex] to the form [tex]\(\frac{a}{b}\)[/tex]:
First, convert the mixed number to an improper fraction.
[tex]\[ 2 \frac{2}{8} = 2 + \frac{2}{8} \][/tex]
Next, simplify [tex]\(\frac{2}{8}\)[/tex]:
[tex]\[ \frac{2}{8} = \frac{1}{4} \implies 2 + \frac{1}{4} \][/tex]
Convert [tex]\(2\)[/tex] to a fraction with 4 as the denominator:
[tex]\[ 2 = \frac{8}{4} \implies \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \][/tex]
So, [tex]\(2 \frac{2}{8} = \frac{9}{4}\)[/tex].
3. Convert -5 to the form [tex]\(\frac{a}{b}\)[/tex]:
The integer -5 can be written as a fraction with 1 as the denominator.
[tex]\[ -5 = \frac{-5}{1} \][/tex]
4. Convert [tex]\(-1 \frac{3}{4}\)[/tex] to the form [tex]\(\frac{a}{b}\)[/tex]:
First, convert the mixed number to an improper fraction.
[tex]\[ -1 \frac{3}{4} = -1 - \frac{3}{4} \][/tex]
Convert -1 to a fraction with 4 as the denominator:
[tex]\[ -1 = \frac{-4}{4} \implies \frac{-4}{4} - \frac{3}{4} = \frac{-7}{4} \][/tex]
So, [tex]\(-1 \frac{3}{4} = \frac{-7}{4}\)[/tex].
5. Convert -4.5 to the form [tex]\(\frac{a}{b}\)[/tex]:
The decimal -4.5 can be broken down into two parts: -4 and -0.5.
[tex]\[ -4.5 = -4 - 0.5 \][/tex]
Convert -0.5 to a fraction:
[tex]\[ -0.5 = -\frac{1}{2} \][/tex]
Now, convert -4 to a fraction with 2 as the denominator:
[tex]\[ -4 = \frac{-8}{2} \implies \frac{-8}{2} - \frac{1}{2} = \frac{-9}{2} \][/tex]
So, [tex]\(-4.5 = \frac{-9}{2}\)[/tex].
6. Convert 3 to the form [tex]\(\frac{a}{b}\)[/tex]:
The integer 3 can be written as a fraction with 1 as the denominator.
[tex]\[ 3 = \frac{3}{1} \][/tex]
Using the above conversions, we get the following fractions:
1. 0.3 = [tex]\(\frac{3}{10}\)[/tex]
2. [tex]\(2 \frac{2}{8}\)[/tex] = [tex]\(\frac{9}{4}\)[/tex]
3. -5 = [tex]\(\frac{-5}{1}\)[/tex]
4. [tex]\(-1 \frac{3}{4}\)[/tex] = [tex]\(\frac{-7}{4}\)[/tex]
5. -4.5 = [tex]\(\frac{-9}{2}\)[/tex]
6. 3 = [tex]\(\frac{3}{1}\)[/tex]
So, the final results are:
1. [tex]\(0.3 = \frac{3}{10}\)[/tex]
2. [tex]\(2 \frac{2}{8} = \frac{9}{4}\)[/tex]
3. [tex]\(-5 = \frac{-5}{1}\)[/tex]
4. [tex]\(-1 \frac{3}{4} = \frac{-7}{4}\)[/tex]
5. [tex]\(-4.5 = \frac{-9}{2}\)[/tex]
6. [tex]\(3 = \frac{3}{1}\)[/tex]
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.
