# Questions - Fractions

1) What is a Fraction ?
Tells us how many parts of a whole we have.
A fraction represents part of a whole.

2) Is a fraction a number ?
Every fraction is a number.

3) Can you halve an odd number ?

4) What is the Numerator ?
This is the top part of a fraction. How much you have.
The numerator has to be an integer.

5) What is the Denominator ?
This is the bottom part of a fraction. This is the total.
The denominator has to be an integer.

6) What is a Decimal Fraction ?
A fraction where the denominator is a power of 10.
For example denominator is 10, 100 or 1000.
Writing a fraction with a decimal point instead of a denominator makes it easier to complete operations.
These types of decimal fractions are just called decimals.

7) What fraction is 300m of 2km ?
2km = 2000m
300 / 2000 = 3/20

8) What fraction of an hour is 15 minutes ?
One quarter

9) What proportion of 3 hours is 10 minutes ?
10 / (3 x 60) = 10/180 = 1/18

10) What is the relationship between "divide by" and a "fraction" ?

11) How do we Convert a Fraction to a Decimal ?
By using long division.

12) Change these Fractions to Decimals ?
1/2 = 0.5
1/3 = 0.333
1/4 = 0.25
1/5 = 0.2
3/4 = 0.75
7/10 = 0.7
3/2 = 1.5
24/10 = 2.4
33/100 = 0.33

13) How do we Convert a Fraction to a Percentage ?
Convert the fraction to a decimal.
Then comvert the decimal to a percentage.

14) Change these Fractions to Percentages ?
1/2 = 0.5 = 50%
24/27 = 8/9 = 0.888 = 88.8%

15) What is Two Thirds of 15 ?
What is Four Fifths of 25 ?
What is Three Quarters of 100 ?
What is 5/8 of 56 ?

16) How do you reduce a Fraction to its Lowest Term ?
Also known as Simplest Form.
You divide the numerator and denominator by their highest common factor.

17) What is the fraction 16/48 in its lowest term ?
16 / 48 = 8 / 24 = 4 / 12 = 1 / 3

18) There are 100 sweets, you give 1 in every 2, to your sister, how many do you have left ?
1 in every 2 is equivalent to a half. You have 50 left.

19) What is a Proper Fraction ?
A fraction where the numerator is smaller than the denominator
Less than one and greater than zero.

20) What is an Improper Fraction ?
A top heavy fraction where the numerator is greater than or equal to the denominator.
Equal to one or greater than one.

21) What is a Simple Fraction ?
A fraction where both the numerator and denominator are whole numbers (or Integers)
Also known as a Common Fraction or Vulgar Fraction.

22) How do we Compare Fractions ?
You must convert them so they have a common denominator.

23) What is the Least Common Denominator ?
This is a smallest multiple of both the denominators.
This is the Least Common Multiple of the Denominators.

24) What does Renaming a Fraction mean ?
To rename a fraction, you multiple both its numerator and denominator by the same number.
This creates an Equivalent Fraction.

25) What is an Equivalent Fraction ?
Equivalent means the same value or amount.
1/4 is equivalent to 2/8, 3/12 and 5/20

26) What is the Numerator if these fractions are equivalent ?

27) Are these fractions equivalent ?

28) Find the missing numerator and denominator of these equivalent fractions ?

29) What does Cross Multiply mean ?
Multiply the top and bottom of the first fraction by the bottom number of the second fraction.
Multiply the top and bottom of the second fraction by the bottom number that the first fraction had.
The bottom of both the fractions is now the same and can be removed.

If two fractions are equivalent when you cross multiply you will get the same answer.

30) How do we work out equivalent fractions ?
Multiplying a fraction by 1 does not change the value of the fraction.

31) Can you find 4 different equivalent fractions for 3/8 ?

32) How to find a fraction of something ?
1) multiply the something by the TOP of the fraction
2) then divide the answer by the BOTTOM

33) How do we Add Fractions ?
You must convert them so they have a common denominator.

34) How do we Subtract Fractions ?
You must convert them so they have a common denominator.

35) How do we Multiply Fractions ?
Multiply the top numbers
Multiply the bottom numbers
Reduce the fraction to its lowest term

36) What is 1/4 multiplied by 2/3 ?

37) What is half of a half ?
Or 1/2 times 1/2

38) How do we multiply a fraction with a whole number ?
First make the whole number a fraction, by putting it over 1.
and then multiply the two fractions together.

39) What is a Non-Unit Fraction ?
This is when the numerator is greater than 1.

40) Do fractions that are equivalent to one half have an even numerator ?

41) What is a Quotient ?
It is the number you get when you divide one number by another.

42) The hedge in my garden has increased by a quarter.
What fraction of the hedge do I need to cut away to bring it back to its original height ?

43) Reduce £250 by 25% ?

44) Find 21% of 4200 ?

45) What is 10% of £4.00 ?

46) Calculate 16% of 300 ?

47) What is the correct representation of the decimal number 3.79 as a fraction ?
3.79 = 379/100
3 = 300/100
0.70 = 70/100
0.09 = 9/100