Fractions

fraction addition - interactive practice

fraction subtraction - interactive practice

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