Discover new information and insights with the help of IDNLearn.com. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.
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]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.