82
Taking the whole part out of an improper fraction
Textbook: Part 3, lesson 82, pp. 34–36
GoalTaking the whole part out of an improper fraction: dividing the numerator by the denominator with a remainder.
New words
taking out the whole part · butun qismni ajratishremainder · qoldiqquotient · bo‘linmaimproper fraction · noto‘g‘ri kasr
Explanation
To change an improper fraction into a mixed number, divide the numerator by the denominator with a remainder. The quotient is the whole part and the remainder is the numerator of the fraction part; the denominator stays the same. For example 15/4: 15 : 4 = 3 remainder 3, so 15/4 = 3 3/4. If there is no remainder, the fraction equals a whole number: 12/4 = 3.
Worked examples
26/5: 26 : 5 = 5 remainder 1, so 26/5 = 5 1/5.
40/8: 40 : 8 = 5 with no remainder, so 40/8 = 5.
Class activity
“Take out the whole”: children draw cards with improper fractions, change them to mixed numbers using division with remainder, and partners check.
Practice
1
Write 17/5 as a mixed number.
3 2/5
2
Write 29/6 as a mixed number.
4 5/6
3
Write 40/8 as a whole number.
5
4
38 sweets are packed 8 to a box. How many boxes are full?
4
5
What is the whole part of 47/9?
5