Answer :
To convert the improper fraction [tex]\(\frac{107}{20}\)[/tex] into a mixed number, you can follow these steps:
1. Divide the Numerator by the Denominator:
Start by dividing 107 by 20. When you do this division:
- 107 divided by 20 is 5, and it gives a quotient of 5.
- The remainder is calculated as [tex]\(107 - (5 \times 20) = 7\)[/tex].
2. Determine the Whole Number Part and the Fractional Part:
The whole number part of the mixed number is the quotient, which is 5.
The fractional part is the remainder over the original denominator: [tex]\(\frac{7}{20}\)[/tex].
3. Combine Them into a Mixed Number:
Therefore, the mixed number is [tex]\(5\ \frac{7}{20}\)[/tex].
4. Convert into a Decimal (For Answer Choices):
To compare it with the answer choices given in decimal form, you divide the fractional part.
Calculate [tex]\(7 \div 20\)[/tex] which equals 0.35.
5. Add the Decimal to the Whole Number:
Add this decimal value to the whole number part of the mixed number:
[tex]\[
5 + 0.35 = 5.35
\][/tex]
Thus, the correct answer from the choices provided is 5.35.
1. Divide the Numerator by the Denominator:
Start by dividing 107 by 20. When you do this division:
- 107 divided by 20 is 5, and it gives a quotient of 5.
- The remainder is calculated as [tex]\(107 - (5 \times 20) = 7\)[/tex].
2. Determine the Whole Number Part and the Fractional Part:
The whole number part of the mixed number is the quotient, which is 5.
The fractional part is the remainder over the original denominator: [tex]\(\frac{7}{20}\)[/tex].
3. Combine Them into a Mixed Number:
Therefore, the mixed number is [tex]\(5\ \frac{7}{20}\)[/tex].
4. Convert into a Decimal (For Answer Choices):
To compare it with the answer choices given in decimal form, you divide the fractional part.
Calculate [tex]\(7 \div 20\)[/tex] which equals 0.35.
5. Add the Decimal to the Whole Number:
Add this decimal value to the whole number part of the mixed number:
[tex]\[
5 + 0.35 = 5.35
\][/tex]
Thus, the correct answer from the choices provided is 5.35.
