Answer :
Certainly! Let's solve each question step by step.
Question 7: What is the lowest terms of [tex]\(\frac{18}{80}\)[/tex]?
To simplify the fraction [tex]\(\frac{18}{80}\)[/tex] to its lowest terms, we need to find the greatest common divisor (GCD) of 18 and 80. The GCD is the largest number that divides both 18 and 80 without leaving a remainder.
1. The GCD of 18 and 80 is 2.
2. Now, divide both the numerator (18) and the denominator (80) by their GCD (which is 2):
[tex]\[
\frac{18 \div 2}{80 \div 2} = \frac{9}{40}
\][/tex]
Therefore, the fraction [tex]\(\frac{18}{80}\)[/tex] in its lowest terms is [tex]\(\frac{9}{40}\)[/tex].
Answer: (A.) [tex]\(\frac{9}{40}\)[/tex]
---
Question 8: What is [tex]\(2 \frac{2}{3}\)[/tex] as an improper fraction?
To convert the mixed number [tex]\(2 \frac{2}{3}\)[/tex] into an improper fraction, follow these steps:
1. Multiply the whole number part (2) by the denominator of the fraction (3):
[tex]\[
2 \times 3 = 6
\][/tex]
2. Add the result to the numerator of the fraction part, which is 2:
[tex]\[
6 + 2 = 8
\][/tex]
3. Place this result over the original denominator (3) to form the improper fraction:
[tex]\[
\frac{8}{3}
\][/tex]
Thus, the mixed number [tex]\(2 \frac{2}{3}\)[/tex] as an improper fraction is [tex]\(\frac{8}{3}\)[/tex].
Answer: (A.) [tex]\(\frac{8}{3}\)[/tex]
Question 7: What is the lowest terms of [tex]\(\frac{18}{80}\)[/tex]?
To simplify the fraction [tex]\(\frac{18}{80}\)[/tex] to its lowest terms, we need to find the greatest common divisor (GCD) of 18 and 80. The GCD is the largest number that divides both 18 and 80 without leaving a remainder.
1. The GCD of 18 and 80 is 2.
2. Now, divide both the numerator (18) and the denominator (80) by their GCD (which is 2):
[tex]\[
\frac{18 \div 2}{80 \div 2} = \frac{9}{40}
\][/tex]
Therefore, the fraction [tex]\(\frac{18}{80}\)[/tex] in its lowest terms is [tex]\(\frac{9}{40}\)[/tex].
Answer: (A.) [tex]\(\frac{9}{40}\)[/tex]
---
Question 8: What is [tex]\(2 \frac{2}{3}\)[/tex] as an improper fraction?
To convert the mixed number [tex]\(2 \frac{2}{3}\)[/tex] into an improper fraction, follow these steps:
1. Multiply the whole number part (2) by the denominator of the fraction (3):
[tex]\[
2 \times 3 = 6
\][/tex]
2. Add the result to the numerator of the fraction part, which is 2:
[tex]\[
6 + 2 = 8
\][/tex]
3. Place this result over the original denominator (3) to form the improper fraction:
[tex]\[
\frac{8}{3}
\][/tex]
Thus, the mixed number [tex]\(2 \frac{2}{3}\)[/tex] as an improper fraction is [tex]\(\frac{8}{3}\)[/tex].
Answer: (A.) [tex]\(\frac{8}{3}\)[/tex]
