Fractions, Percentages and Decimals Flashcards
Fractions, Percentages and Decimals (MAT4-FRC-C-01)
What is the HCF)
The highest common factor of 2 whole numbers
How can you compare and order fractions with different denominators?
By creating equivalent fractions
What methods can simplify fractions?
- Determining the HCF of the numerator and denominator
- Repeated simplification using common factors
What does it mean to round decimals?
To round to a given number of decimal places, shortening it
which two ways can decimals be classified?
- Recurring
- Terminating
Define rational numbers.
Numbers that can be written in the form a/b, where a and b are integers and b≠0
Which types of numbers are classified as rational?
- Fractions
- Percentages
What defines irrational numbers?
Numbers that cannot be written in the form a/b where a and b are integers and b≠0
What is the purpose of locating irrational numbers on a number line?
To compare their relative values with positive and negative fractions, decimals, and mixed numbers
What can be compared and ordered?
- Fractions
- Mixed numbers
- Decimals (terminating and recurring)
- Percentages
What operations are involved in solving problems with fractions?
- Adding
- Subtracting
- Multiplying
- Dividing
What is necessary when adding and subtracting fractions?
Finding a common denominator
How can one quantity be represented as a fraction, decimal, or percentage of another?
By considering appropriate units
How can knowledge of percentages be applied?
To calculate quantities in various contexts
What technique can be used to solve real-life problems involving percentages?
The unitary method
What financial problems can involve percentages?
- GST
- Profit
- Loss
what percent is GST of the original value?
110%
GST meaning and context:
Goods and Services Tax, on most products sold for domestic consumption, is remitted to the government.
It is applied when certain items/services are bought.
how to convert fraction to decimal
- If mixed, change to improper
- Divide the numerator by the denominator
How to convert decimal to fraction
Step 1- Identify the place value of the digits after the decimal point in the number.
Step 2- Use that to determine what the denominator of the fraction would be.
Step 3- Remove the decimal point. Rewrite in the fraction form and simplify it.
Step 4- Express in terms of the lowest Equivalent fraction.
fraction to percentage
divide the numerator (number on the top) by the denominator (number on the bottom) and multiply by 100
percentage to fraction
put the percentage over 100 (after removing the % sign) and simplify if necessary
- decimal to percentage
- percentage to decimal
- To change a decimal to a percentage, multiply by 100.
- To convert a percentage to a decimal, divide by 100
What is the result of 1/2 + 3/4?
The result is 5/4 or 1.25.
