Answer :
To convert the improper fraction
[tex]$$\frac{107}{20}$$[/tex]
into a mixed number, follow these steps:
1. Divide the numerator by the denominator:
Divide 107 by 20. The quotient is the whole number part.
[tex]$$107 \div 20 = 5 \quad\text{(with a remainder)}$$[/tex]
2. Find the remainder:
Multiply the whole number (5) by the denominator (20) and subtract from 107 to determine the remainder.
[tex]$$107 - (5 \times 20) = 107 - 100 = 7$$[/tex]
3. Write the mixed number:
The remainder forms the numerator of the fractional part with the same denominator. Thus, the mixed number is:
[tex]$$5\frac{7}{20}$$[/tex]
4. Express the mixed number as a decimal (if needed):
Calculate the decimal value of the fractional part:
[tex]$$\frac{7}{20} = 0.35$$[/tex]
Then add the whole number:
[tex]$$5 + 0.35 = 5.35$$[/tex]
Therefore, the improper fraction [tex]$\frac{107}{20}$[/tex] expressed as a mixed number in decimal form is
[tex]$$5.35.$$[/tex]
[tex]$$\frac{107}{20}$$[/tex]
into a mixed number, follow these steps:
1. Divide the numerator by the denominator:
Divide 107 by 20. The quotient is the whole number part.
[tex]$$107 \div 20 = 5 \quad\text{(with a remainder)}$$[/tex]
2. Find the remainder:
Multiply the whole number (5) by the denominator (20) and subtract from 107 to determine the remainder.
[tex]$$107 - (5 \times 20) = 107 - 100 = 7$$[/tex]
3. Write the mixed number:
The remainder forms the numerator of the fractional part with the same denominator. Thus, the mixed number is:
[tex]$$5\frac{7}{20}$$[/tex]
4. Express the mixed number as a decimal (if needed):
Calculate the decimal value of the fractional part:
[tex]$$\frac{7}{20} = 0.35$$[/tex]
Then add the whole number:
[tex]$$5 + 0.35 = 5.35$$[/tex]
Therefore, the improper fraction [tex]$\frac{107}{20}$[/tex] expressed as a mixed number in decimal form is
[tex]$$5.35.$$[/tex]
