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:
- Here, divide 107 by 20.
- The result is 5 with a remainder. This means 20 goes into 107 a total of 5 times.
2. Find the remainder:
- After dividing, subtract the product of 5 (the whole number part) and 20 (the denominator) from 107.
- [tex]\(107 - (5 \times 20) = 107 - 100 = 7\)[/tex].
- So, the remainder is 7.
3. Write the mixed number:
- The mixed number is composed of the whole number part and the fractional remainder part.
- The whole number part is 5, and the fractional part is the remainder over the original denominator, which is [tex]\(\frac{7}{20}\)[/tex].
4. Combine them:
- The mixed number is [tex]\(5\frac{7}{20}\)[/tex].
Upon checking for a decimal equivalent, [tex]\(\frac{107}{20}\)[/tex] equals 5.35, which matches one of the choices given.
So, the correct choice for the decimal representation would be 5.35. The equivalent mixed number is [tex]\(5\frac{7}{20}\)[/tex].
1. Divide the numerator by the denominator:
- Here, divide 107 by 20.
- The result is 5 with a remainder. This means 20 goes into 107 a total of 5 times.
2. Find the remainder:
- After dividing, subtract the product of 5 (the whole number part) and 20 (the denominator) from 107.
- [tex]\(107 - (5 \times 20) = 107 - 100 = 7\)[/tex].
- So, the remainder is 7.
3. Write the mixed number:
- The mixed number is composed of the whole number part and the fractional remainder part.
- The whole number part is 5, and the fractional part is the remainder over the original denominator, which is [tex]\(\frac{7}{20}\)[/tex].
4. Combine them:
- The mixed number is [tex]\(5\frac{7}{20}\)[/tex].
Upon checking for a decimal equivalent, [tex]\(\frac{107}{20}\)[/tex] equals 5.35, which matches one of the choices given.
So, the correct choice for the decimal representation would be 5.35. The equivalent mixed number is [tex]\(5\frac{7}{20}\)[/tex].
