Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Let's solve the problem step-by-step:
1. Multiply the whole number by the numerator of the fraction:
[tex]\[ 3 \times 5 = 15 \][/tex]
2. The denominator remains the same:
[tex]\[ \frac{15}{6} \][/tex]
3. Simplify the fraction [tex]\(\frac{15}{6}\)[/tex]:
- Find the greatest common divisor (GCD) of 15 and 6, which is 3.
- Divide both the numerator and the denominator by their GCD:
[tex]\[ \frac{15 \div 3}{6 \div 3} = \frac{5}{2} \][/tex]
4. Convert the improper fraction [tex]\(\frac{5}{2}\)[/tex] into a mixed number:
- The integer part is the quotient of the division of 5 by 2:
[tex]\[ 5 \div 2 = 2 \quad \text{(quotient, integer part)} \][/tex]
- The fractional part is the remainder over the original denominator:
[tex]\[ 5 \mod 2 = 1 \quad \text{(remainder, numerator of the fractional part)} \][/tex]
- This gives us:
[tex]\[ \frac{5}{2} = 2 \frac{1}{2} \][/tex]
5. Compare this to the given options:
- Option A: [tex]\(1 \frac{2}{6} = 1 \frac{1}{3}\)[/tex] (not a match)
- Option B: [tex]\(\frac{15}{18}\)[/tex] does not simplify to [tex]\(\frac{5}{2}\)[/tex]
- Option C: [tex]\(2 \frac{3}{6} = 2 \frac{1}{2}\)[/tex] (this matches)
- Option D: [tex]\(\frac{5}{18}\)[/tex] does not simplify to [tex]\(\frac{5}{2}\)[/tex]
Thus, the correct answer is:
C. [tex]\(2 \frac{3}{6}\)[/tex]
1. Multiply the whole number by the numerator of the fraction:
[tex]\[ 3 \times 5 = 15 \][/tex]
2. The denominator remains the same:
[tex]\[ \frac{15}{6} \][/tex]
3. Simplify the fraction [tex]\(\frac{15}{6}\)[/tex]:
- Find the greatest common divisor (GCD) of 15 and 6, which is 3.
- Divide both the numerator and the denominator by their GCD:
[tex]\[ \frac{15 \div 3}{6 \div 3} = \frac{5}{2} \][/tex]
4. Convert the improper fraction [tex]\(\frac{5}{2}\)[/tex] into a mixed number:
- The integer part is the quotient of the division of 5 by 2:
[tex]\[ 5 \div 2 = 2 \quad \text{(quotient, integer part)} \][/tex]
- The fractional part is the remainder over the original denominator:
[tex]\[ 5 \mod 2 = 1 \quad \text{(remainder, numerator of the fractional part)} \][/tex]
- This gives us:
[tex]\[ \frac{5}{2} = 2 \frac{1}{2} \][/tex]
5. Compare this to the given options:
- Option A: [tex]\(1 \frac{2}{6} = 1 \frac{1}{3}\)[/tex] (not a match)
- Option B: [tex]\(\frac{15}{18}\)[/tex] does not simplify to [tex]\(\frac{5}{2}\)[/tex]
- Option C: [tex]\(2 \frac{3}{6} = 2 \frac{1}{2}\)[/tex] (this matches)
- Option D: [tex]\(\frac{5}{18}\)[/tex] does not simplify to [tex]\(\frac{5}{2}\)[/tex]
Thus, the correct answer is:
C. [tex]\(2 \frac{3}{6}\)[/tex]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.