Fractions of a number: word problems
Key points :
Understanding Fractions:
- A fraction represents a part of a whole. It consists of two parts:
- Numerator: The number of equal parts being considered.
- Denominator: The total number of equal parts that make up the whole.
Finding Fractions of a Number:
- To find a fraction of a number, multiply the number by the fraction.
- Formula: (Fraction) × (Number) = Fraction of the Number
- Example: To find ⅓ of 12, multiply ⅓ × 12 = 12 ÷ 3 = 4.
Learn with an example
😀Six-ninths of the 18 trees in the orchard are cherry trees.
How many cherry trees are in the orchard?
Find 6/9 of 18.
Divide 18 into 9 equal groups. Find how many are in each group.
18 ÷ 9 = 2
There are 2 in each group.
Find how many are in 6 groups.
6 × 2 = 12
There are 12 in 6 groups.
12 is 6/9 of 18.
12 cherry trees are in the orchard.
😀 Three-elevenths of the 11 students in the choir have brown hair.
How many students in the choir have brown hair?
Find 3/11 of 11.
Divide 11 into 11 equal groups. Find how many are in each group.
11 ÷ 11 = 1
There is 1 in each group.
Find how many are in 3 groups.
3 × 1 = 3
There are 3 in 3 groups.
3 is 3/11 of 11.
3 students in the choir have brown hair.
😀Of the 10 students on the playground, one-half want to play kickball.
How many students want to play kickball?
Find 1/2 of 10.
Divide 10 into 2 equal groups. Find how many are in each group.
10 ÷ 2 = 5
There are 5 in each group.
5 is 1/2 of 10
5 students want to play kickball.
let’s try some problems!
