Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Sure! Let's go through the step-by-step solution for each part of the question:
### Part (i): [tex]\(20 \times \frac{4}{5}\)[/tex]
1. Multiply the whole number by the numerator of the fraction:
[tex]\[ 20 \times 4 = 80 \][/tex]
2. Write this result over the original denominator of the fraction:
[tex]\[ \frac{80}{5} \][/tex]
3. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
[tex]\[ \text{GCD of 80 and 5 is 5.} \][/tex]
[tex]\[ \frac{80 \div 5}{5 \div 5} = \frac{16}{1} \][/tex]
4. Convert the resulting fraction into a mixed number (if necessary):
Since the numerator [tex]\(16\)[/tex] is greater than the denominator [tex]\(1\)[/tex], we can convert it to a mixed number:
[tex]\[ \frac{16}{1} \text{ is equivalent to } 16. \][/tex]
So, the final result for [tex]\(20 \times \frac{4}{5}\)[/tex] is:
[tex]\[ 16 \][/tex]
### Part (ii): [tex]\(15 \times \frac{1}{3}\)[/tex]
1. Multiply the whole number by the numerator of the fraction:
[tex]\[ 15 \times 1 = 15 \][/tex]
2. Write this result over the original denominator of the fraction:
[tex]\[ \frac{15}{3} \][/tex]
3. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
[tex]\[ \text{GCD of 15 and 3 is 3.} \][/tex]
[tex]\[ \frac{15 \div 3}{3 \div 3} = \frac{5}{1} \][/tex]
4. Convert the resulting fraction into a mixed number (if necessary):
Since the numerator [tex]\(5\)[/tex] is greater than the denominator [tex]\(1\)[/tex], we can convert it to a mixed number:
[tex]\[ \frac{5}{1} \text{ is equivalent to } 5. \][/tex]
So, the final result for [tex]\(15 \times \frac{1}{3}\)[/tex] is:
[tex]\[ 5 \][/tex]
In summary:
- [tex]\(20 \times \frac{4}{5} = 16\)[/tex]
- [tex]\(15 \times \frac{1}{3} = 5\)[/tex]
### Part (i): [tex]\(20 \times \frac{4}{5}\)[/tex]
1. Multiply the whole number by the numerator of the fraction:
[tex]\[ 20 \times 4 = 80 \][/tex]
2. Write this result over the original denominator of the fraction:
[tex]\[ \frac{80}{5} \][/tex]
3. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
[tex]\[ \text{GCD of 80 and 5 is 5.} \][/tex]
[tex]\[ \frac{80 \div 5}{5 \div 5} = \frac{16}{1} \][/tex]
4. Convert the resulting fraction into a mixed number (if necessary):
Since the numerator [tex]\(16\)[/tex] is greater than the denominator [tex]\(1\)[/tex], we can convert it to a mixed number:
[tex]\[ \frac{16}{1} \text{ is equivalent to } 16. \][/tex]
So, the final result for [tex]\(20 \times \frac{4}{5}\)[/tex] is:
[tex]\[ 16 \][/tex]
### Part (ii): [tex]\(15 \times \frac{1}{3}\)[/tex]
1. Multiply the whole number by the numerator of the fraction:
[tex]\[ 15 \times 1 = 15 \][/tex]
2. Write this result over the original denominator of the fraction:
[tex]\[ \frac{15}{3} \][/tex]
3. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
[tex]\[ \text{GCD of 15 and 3 is 3.} \][/tex]
[tex]\[ \frac{15 \div 3}{3 \div 3} = \frac{5}{1} \][/tex]
4. Convert the resulting fraction into a mixed number (if necessary):
Since the numerator [tex]\(5\)[/tex] is greater than the denominator [tex]\(1\)[/tex], we can convert it to a mixed number:
[tex]\[ \frac{5}{1} \text{ is equivalent to } 5. \][/tex]
So, the final result for [tex]\(15 \times \frac{1}{3}\)[/tex] is:
[tex]\[ 5 \][/tex]
In summary:
- [tex]\(20 \times \frac{4}{5} = 16\)[/tex]
- [tex]\(15 \times \frac{1}{3} = 5\)[/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.