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

  1. Identify that the fraction has numerator greater than denominator (fraction > 1)

  2. Divide the numerator by the denominator to get the whole number part

  3. Use the remainder as the numerator of the fractional part

  4. Keep the same denominator for the fractional part