Question 13 of 20intermediate💡 UnderstandShort Answer2 marks
Can all fractions greater than 1 be written as such mixed numbers?
Correct Answer
Yes, all fractions greater than 1 can be written as mixed numbers.
Reason: When the numerator is greater than the denominator:
- Dividing the numerator by the denominator gives the whole number part
- The remainder becomes the numerator of the fractional part with the same denominator
Exercise: Figure it Out (Section 6) | Q: 2 | (Page Page 12)
For More Understanding
Explanation
The chapter explains that a mixed number contains a whole number part and a fractional part less than 1. Any fraction greater than 1 (where numerator > denominator) can be converted to a mixed number by dividing the numerator by the denominator.
Solution Steps
Identify that the fraction has numerator greater than denominator (fraction > 1)
Divide the numerator by the denominator to get the whole number part
Use the remainder as the numerator of the fractional part
Keep the same denominator for the fractional part