Fractions
Content
- Fraction
- Fraction - Interactive Practice
- Lowest Term
- Equivalent Fraction - Interactive Practice
- Lowest Term - Interactive Practice
- Add, Subtract Fractions
- Fraction Addition - Interactive Practice
- Fraction Subtraction - Interactive Practice
- Multiply, Divide Fraction
- Fraction Multiplication and Division - Interactive Practice
- Mixed Numbers
- Fraction and Decimal
- Fraction - Word Problems
Fraction
Fraction - Interactive practice
Lowest Term
A fraction can be written in lowest term or simplified form by dividing both numerator and denominator with the same number.
Equivalent Fraction - Interactive practice
Lowest Term - interactive practice
Add, Subtract Fractions
To add/subtract fractions, they must have equal denominator.
If the denominators are not equal, make them equal before adding or subtracting.
fraction addition - interactive practice
fraction subtraction - interactive practice
Multiply, Divide Fraction
To multiply, divide fractions, they need not have equal denominator.
To divide fractions, invert the dividing fraction then multiply.
fraction multiplication and division - interactive practice
Mixed numbers
To add/subtract mixed numbers, first add/subtract whole numbers, then add/subtract fractional parts.
To multiply/divide mixed numbers, it is better to convert them to improper fractions, them multiply/divide.
Fraction and Decimal
Fractions can be converted to equivalent decimals.
1/2 = 5/10 = 0.5
1/4 = 25/100 = 0.25
1/5 = 2/10 = 0.2
1/10 = 0.1
Fraction and Percentage - Interactive
Fractions can be converted to equivalent percentages.
1/2 = 1/2 x 100% = 50%
1/4 = 1/4 x 100% = 25%
1/5 = 1/5 x 100% = 20%
1/10 = 1/10 x 100% = 10%
Fraction - Word Problems
QUESTION 1 - REMAINDER CONCEPT
Julaiha spent 7/10 of her pocket money on Food and 1/3 of the remainder on a Drink.
If she has $2 now, how much was her pocket money?
Food = 7/10
Remainder = 1 - (7/10) = 3/10
Drink = (1/3) x (3/10) = 1/10
Balance = (3/10) - (1/10) = 2/10
2 units --> $2
Pocket Money, 10 Units --> $10
QUESTION 2 - PART WHOLE CONCEPT
Ahamed spent 1/2 of his money on 2 books and 3 pens.
The cost of a book is three times the cost of a pen.
He bought some more pens with 1/3 of his remaining money.
Find the total number of pens he bought.
cost of 1 book --> cost of 3 pens
cost of 2 books --> cost of 6 pens
(1/2) of money --> 2 books + 3 pens
(1/2) of money --> 6 pens + 3 pens
(1/2) of money --> 9 pens
Remaining money --> 1- (1/2) = (1/2) of money --> 9 pens
(1/3) of remaining money --> (1/3) x 9 pens = 3 pens
So Ahamed bought = 6 + 3 = 9 pens in Total.
QUESTION 3 - EQUAL FRACTION CONCEPT
There are 50 students in a School Hall.
6/10 of the boys and 4/5 of the girls left the Hall.
Now the number of girls in the hall is 1/3 the number of boys.
How many students in the hall now?
How many students left the hall?
FRACTION OF STUDENTS LEFT THE HALL
boys --> 6/10
girls --> 4/5
FRACTION OF STUDENTS REMAINING IN THE HALL
boys --> 1 - (6/10) = 4/10
girls --> 1 - (4/5) = 1/5
NOW IN THE HALL
Number of girls = (1/3) x Number of boys
Number of boys = 3 x number of girls
(4/10) B <---> 3 x (1/5) G
(4/10) B <---> (3/5) G
Make the numerator the same, (12/30) B <---> (12/20) G
So, boys --> 30 units and girls --> 20 units
Total = 30 units + 20 units
50 units --> 500 students
1 unit --> 10 students
boys --> 30 units = 300
(4/10) x 300 = 120 boys in the Hall now
girls --> 20 units = 200
(1/5) x 200 = 40 girls in the Hall now
So 120 + 40 = 160 students in the Hall now.
500 - 160 = 340 students left the Hall.
QUESTION 4 - SINGLE UNCHANGED CONCEPT
4/5 of the students in a class are boys. After 35 boys left the class, 1/3 of the students in the class now are boys. How many girls are there in the class?
Number of Girls in unchanged. We shall apply BCA (BEFORE --> CHANGE --> AFTER) concept
BEFORE
Boys --> 4 unit
Girls --> 1 unit
CHANGE
35 Boys left the hall
AFTER
Boys --> 1 part
Girls --> 2 parts
Let us change all to x.
Number of Girls in unchanged, so it has to be equal in BEFORE and AFTER.
BEFORE
Boys --> 8x
Girls --> 2x
CHANGE
35 Boys left the hall
AFTER
Boys --> 1x
Girls --> 2x
8x - 1x = 7x --> 35
1x --> 5
Girls = 2x --> 10