Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
To convert the improper fraction [tex]\(\frac{15}{4}\)[/tex] into a mixed number, follow these steps:
1. Divide the numerator by the denominator:
Divide 15 by 4. The quotient is the integer part of the mixed number.
[tex]\[ 15 \div 4 = 3 \quad \text{(remainder 3)} \][/tex]
2. Identify the remainder:
The remainder when 15 is divided by 4 is 3.
[tex]\[ 15 \div 4 = 3 \text{ with a remainder of } 3 \][/tex]
3. Form the fractional part:
The fractional part is given by the remainder over the original denominator.
[tex]\[ \text{Fractional part} = \frac{3}{4} \][/tex]
4. Combine the integer part and the fractional part:
Thus, the mixed number is:
[tex]\[ 3 \frac{3}{4} \][/tex]
5. Convert the fractional part to a decimal for the mixed number:
Convert [tex]\(\frac{3}{4}\)[/tex] to a decimal.
[tex]\[ \frac{3}{4} = 0.75 \][/tex]
6. Combine the integer and decimal parts:
Adding the integer part (3) and the decimal part (0.75) gives:
[tex]\[ 3 + 0.75 = 3.75 \][/tex]
Therefore, the improper fraction [tex]\(\frac{15}{4}\)[/tex] can be written as the mixed number 3.75.
Among the given choices, the correct one is:
[tex]\(\boxed{3.75}\)[/tex]
1. Divide the numerator by the denominator:
Divide 15 by 4. The quotient is the integer part of the mixed number.
[tex]\[ 15 \div 4 = 3 \quad \text{(remainder 3)} \][/tex]
2. Identify the remainder:
The remainder when 15 is divided by 4 is 3.
[tex]\[ 15 \div 4 = 3 \text{ with a remainder of } 3 \][/tex]
3. Form the fractional part:
The fractional part is given by the remainder over the original denominator.
[tex]\[ \text{Fractional part} = \frac{3}{4} \][/tex]
4. Combine the integer part and the fractional part:
Thus, the mixed number is:
[tex]\[ 3 \frac{3}{4} \][/tex]
5. Convert the fractional part to a decimal for the mixed number:
Convert [tex]\(\frac{3}{4}\)[/tex] to a decimal.
[tex]\[ \frac{3}{4} = 0.75 \][/tex]
6. Combine the integer and decimal parts:
Adding the integer part (3) and the decimal part (0.75) gives:
[tex]\[ 3 + 0.75 = 3.75 \][/tex]
Therefore, the improper fraction [tex]\(\frac{15}{4}\)[/tex] can be written as the mixed number 3.75.
Among the given choices, the correct one is:
[tex]\(\boxed{3.75}\)[/tex]
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.