Answer :
To change the improper fraction
[tex]$$\frac{107}{20}$$[/tex]
into a mixed number, follow these steps:
1. Divide the numerator by the denominator. That is, divide 107 by 20. The integer part of the division is
[tex]$$107 \div 20 = 5.$$[/tex]
2. Multiply the whole number (5) by the denominator (20) to find how much of 107 is accounted for:
[tex]$$5 \times 20 = 100.$$[/tex]
3. Subtract this product from the numerator to find the remainder:
[tex]$$107 - 100 = 7.$$[/tex]
4. Write the mixed number by putting the whole number, the remainder over the original denominator:
[tex]$$5\frac{7}{20}.$$[/tex]
5. To verify, convert the fractional part [tex]$\frac{7}{20}$[/tex] into its decimal form:
[tex]$$\frac{7}{20} = 0.35$$[/tex]
and then add the whole part:
[tex]$$5 + 0.35 = 5.35.$$[/tex]
Thus, the mixed number equivalent of [tex]$\frac{107}{20}$[/tex] is [tex]$5\frac{7}{20}$[/tex], which as a decimal is [tex]$5.35$[/tex].
[tex]$$\frac{107}{20}$$[/tex]
into a mixed number, follow these steps:
1. Divide the numerator by the denominator. That is, divide 107 by 20. The integer part of the division is
[tex]$$107 \div 20 = 5.$$[/tex]
2. Multiply the whole number (5) by the denominator (20) to find how much of 107 is accounted for:
[tex]$$5 \times 20 = 100.$$[/tex]
3. Subtract this product from the numerator to find the remainder:
[tex]$$107 - 100 = 7.$$[/tex]
4. Write the mixed number by putting the whole number, the remainder over the original denominator:
[tex]$$5\frac{7}{20}.$$[/tex]
5. To verify, convert the fractional part [tex]$\frac{7}{20}$[/tex] into its decimal form:
[tex]$$\frac{7}{20} = 0.35$$[/tex]
and then add the whole part:
[tex]$$5 + 0.35 = 5.35.$$[/tex]
Thus, the mixed number equivalent of [tex]$\frac{107}{20}$[/tex] is [tex]$5\frac{7}{20}$[/tex], which as a decimal is [tex]$5.35$[/tex].
