Numeracy, Data & IT: Solved Questions and Answers

Numeracy, Data &IT

Contents
INTRODUCTION...........................................................................................................................3
PART-1.............................................................................................................................................3
PART-2.............................................................................................................................................8
PART-3...........................................................................................................................................10
REFERENCES..............................................................................................................................17

INTRODUCTION
Numeracy is the methodology for simplifying the concepts, factors and other given
information in numbering world. It included the fundamental & comprehensive operations of
arithmetic criteria such as addition, subtraction, multiplication and division. It consists of
knowledge, skills & other conduct of nature that to be needed in wide range of mathematical
operations and tactics (Coetzee and Matthee, 2021). In this particular reporting, gathering of all
the fractions value with different activities occurrence and data & excel based questions is to be
solved. By covering all the numeracy aspect, we can create value with the usage of different
functionality.
PART-1
Question 1: Define the terms (a) numerator, (b) denominator.
Solution:
A. Numerator: When the numbers are given in the form of (a/b) then the 'a' value is
known as numerator. The number which placed at above the fraction bar is represented as
numerators of the fraction value which shown the partial parts of the whole amount.
For example: There are 5 chocolates in a box. 1 chocolate is given to one boy. That
means the fraction of boy is (1 / 5) where 1 is the numerator. In other words, he will get one-fifth
of the chocolates.
B. Denominator: When the numbers are given in the form of (a/b) then the 'b' value is
known as denominator. The number which placed at below the fraction bar is represented as
denominators of the fraction value which shows the whole amount (Del Río, and et.al., 2017).
For example: There are 5 chocolates in a box. So 5 is the whole part of the 1/5 fraction
value.
Question 2: Identify simplest forms of 24/40 and 18/42.
Solution: Steps of calculating simple factors:
1. Find out the HCF factor of the numerator and denominator.
2. Divide both the segments by common value.
3. It reduces the value from highest to lowest.

Calculation:
I. 24 / 40:
a. Highest Common factor of 24 / 40 is 8.
b. 24 / 8 = 3 & 40 / 8 = 5.
c. Reduced Fraction = 3 / 5.
Therefore, 24 / 40 simplified form is 3 / 5.
II. 18 / 42:
a. Highest Common factor of 18 / 42 is 6.
b. 18 / 6 = 3 & 42 / 6 = 7.
c. Reduced Fraction = 3 / 7.
Therefore, 18 / 42 simplified form is 3 / 7.
Question 3:
A. Determine the fractions of 2/3, 3/4 and 5/6 as equal value with a denominator of 12.
Solution: Multiply both numerator & denominator by the same number which will turn the value
of denominator into 12 like below:
1. 2 / 3: 2*4 / 3*4 = 8 / 12.
2. 3 / 4: 3*3 / 4*3 = 9 / 12.
3. 5 / 6: 5*2 / 6*2 = 10 / 12.
Therefore, the equivalent fraction of the 2/3, 3/4 and 5/6 is 8/12, 9/12 and 10/12.
B. A library contains 60,000 books. 14,000 are of business subject, 22,000 are of healthcare and
12,000 on psychology & law. What percentage of the library’s books is on computing, if
computing books is two-thirds of the remainder?
Solution:
Total Number of books in library = 60000
1. Business subject books = 14000
2. Healthcare subject = 22000
3. Psychology & Law = 12000