At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
To find the product of the fractions [tex]\(\frac{5}{4}\)[/tex] and [tex]\(\frac{1}{4}\)[/tex], we will follow these detailed steps:
1. Multiply the Numerators:
- The numerators (the top parts of the fractions) are 5 and 1.
- Multiply these two numbers: [tex]\(5 \times 1 = 5\)[/tex].
2. Multiply the Denominators:
- The denominators (the bottom parts of the fractions) are both 4.
- Multiply these two numbers: [tex]\(4 \times 4 = 16\)[/tex].
3. Form the New Fraction:
- The new fraction will have the product of the numerators as its numerator, and the product of the denominators as its denominator.
- This new fraction is [tex]\(\frac{5}{16}\)[/tex].
4. Simplify If Necessary:
- In this case, [tex]\(\frac{5}{16}\)[/tex] is already in its simplest form since 5 and 16 have no common factors other than 1.
5. Convert to a Decimal (Optional):
- To express the fraction [tex]\(\frac{5}{16}\)[/tex] as a decimal, perform the division [tex]\(5 \div 16 = 0.3125\)[/tex].
So, the product of [tex]\(\frac{5}{4} \times \frac{1}{4}\)[/tex] is [tex]\(\frac{5}{16}\)[/tex] or 0.3125 when expressed as a decimal.
1. Multiply the Numerators:
- The numerators (the top parts of the fractions) are 5 and 1.
- Multiply these two numbers: [tex]\(5 \times 1 = 5\)[/tex].
2. Multiply the Denominators:
- The denominators (the bottom parts of the fractions) are both 4.
- Multiply these two numbers: [tex]\(4 \times 4 = 16\)[/tex].
3. Form the New Fraction:
- The new fraction will have the product of the numerators as its numerator, and the product of the denominators as its denominator.
- This new fraction is [tex]\(\frac{5}{16}\)[/tex].
4. Simplify If Necessary:
- In this case, [tex]\(\frac{5}{16}\)[/tex] is already in its simplest form since 5 and 16 have no common factors other than 1.
5. Convert to a Decimal (Optional):
- To express the fraction [tex]\(\frac{5}{16}\)[/tex] as a decimal, perform the division [tex]\(5 \div 16 = 0.3125\)[/tex].
So, the product of [tex]\(\frac{5}{4} \times \frac{1}{4}\)[/tex] is [tex]\(\frac{5}{16}\)[/tex] or 0.3125 when expressed as a decimal.
Thank you for your visit. We're 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. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.