Answer :
Sure, let's go through each question step-by-step.
5. What kind of fractions are [tex]$\frac{8}{6}$[/tex] and [tex]$\frac{16}{13}$[/tex]?
- First, reduce [tex]$\frac{8}{6}$[/tex] to its simplest form. The greatest common divisor (GCD) of 8 and 6 is 2, so divide both the numerator and the denominator by 2:
[tex]\[
\frac{8}{6} = \frac{8 \div 2}{6 \div 2} = \frac{4}{3}
\][/tex]
- [tex]$\frac{16}{13}$[/tex] is already in its simplest form since 16 and 13 have no common divisors other than 1.
- Since [tex]$\frac{4}{3}$[/tex] and [tex]$\frac{16}{13}$[/tex] do not have the same value, they are considered dissimilar fractions.
Answer: dissimilar
6. What term refers to a fraction like [tex]$\frac{1}{25}$[/tex]?
- A fraction where the numerator is 1 and the denominator is any positive integer is called a unit fraction.
Answer: unit fraction
7. What is the lowest terms of [tex]$\frac{18}{80}$[/tex]?
- Find the greatest common divisor (GCD) of 18 and 80, which is 2. Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{18}{80} = \frac{18 \div 2}{80 \div 2} = \frac{9}{40}
\][/tex]
Answer: [tex]$\frac{9}{40}$[/tex]
8. What is [tex]$2 \frac{2}{6}$[/tex] as an improper fraction?
- Convert the mixed number to an improper fraction. Multiply the whole number by the denominator and add the numerator:
[tex]\[
2 \frac{2}{6} = \left(2 \times 6 + 2\right) \div 6 = \frac{12 + 2}{6} = \frac{14}{6}
\][/tex]
Answer: [tex]$\frac{14}{6}$[/tex]
This provides a detailed explanation of each step for finding the answers.
5. What kind of fractions are [tex]$\frac{8}{6}$[/tex] and [tex]$\frac{16}{13}$[/tex]?
- First, reduce [tex]$\frac{8}{6}$[/tex] to its simplest form. The greatest common divisor (GCD) of 8 and 6 is 2, so divide both the numerator and the denominator by 2:
[tex]\[
\frac{8}{6} = \frac{8 \div 2}{6 \div 2} = \frac{4}{3}
\][/tex]
- [tex]$\frac{16}{13}$[/tex] is already in its simplest form since 16 and 13 have no common divisors other than 1.
- Since [tex]$\frac{4}{3}$[/tex] and [tex]$\frac{16}{13}$[/tex] do not have the same value, they are considered dissimilar fractions.
Answer: dissimilar
6. What term refers to a fraction like [tex]$\frac{1}{25}$[/tex]?
- A fraction where the numerator is 1 and the denominator is any positive integer is called a unit fraction.
Answer: unit fraction
7. What is the lowest terms of [tex]$\frac{18}{80}$[/tex]?
- Find the greatest common divisor (GCD) of 18 and 80, which is 2. Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{18}{80} = \frac{18 \div 2}{80 \div 2} = \frac{9}{40}
\][/tex]
Answer: [tex]$\frac{9}{40}$[/tex]
8. What is [tex]$2 \frac{2}{6}$[/tex] as an improper fraction?
- Convert the mixed number to an improper fraction. Multiply the whole number by the denominator and add the numerator:
[tex]\[
2 \frac{2}{6} = \left(2 \times 6 + 2\right) \div 6 = \frac{12 + 2}{6} = \frac{14}{6}
\][/tex]
Answer: [tex]$\frac{14}{6}$[/tex]
This provides a detailed explanation of each step for finding the answers.
