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How to solve rational numbers in fraction form

PAT: Master Provincial Achievement Test Skills

Operations with Decimals

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Adding and subtracting decimals

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimals

Multiplying Decimals

Dividing decimals 

Dividing Decimals

Order of operations (BEDMAS)

Mixed Operations with Decimals

Mixed Operations

Identify the Order of Operations

Order of Operations — Word Problem

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Square Roots

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Rational Numbers

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Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Solving problems with rational numbers in fraction form

Operations with fractions

Determine square roots of rational numbers

Square roots of rational numbers

Powers and Exponents

Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Introduction to Linear Relations

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Linear Relations

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Solving Linear Equations

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Model and solve one-step linear equations: ax = b, x/a = b

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving two-step linear equations using addition and subtraction: ax + b = c

Two-step Linear Equations

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving two-step linear equations using multiplication and division: x/a + b = c

Solving two-step linear equations using distributive property: a(x + b) = c

Solve Linear Equations Using Distributive Property – Word Problem

Introduction to Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

What is a polynomial?

Classifying Polynomials

Polynomial components

Operations with Polynomials

Adding and subtracting polynomials

Multiplying and dividing monomials 

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Circle Geometry

Angles in a circle

Chord properties 

Tangent properties

Surface Area of 3D Objects

Surface area of 3-dimensional shapes

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Surface area of cylinders

Scale Factors and Similarity

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Symmtery

Line symmetry

Rotational symmetry and transformations

Influencing factors in data collection

Data collection

Probability

Provincial Achievement Test

sample

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- Hi. Welcome to this question right here. So we have a negative two over three. Let me just re-write that question down right here. Subtract a negative five over six. Before we take it to the next step, I want you to see that there's a negative and a negative, so it means positive, okay? So let's just re-write that down here and make it into a positive. Makes the question look a little bit simpler. Then, you know you're dealing with fractions, right? You've got a numerator and a denominator. So, if you're going to put them together it has to have a common denominator. So what's a common denominator between the three and six? 
It has to be the lowest one, right? So I'm just going to bring the work over here. I'm going to re-try it one more time. My common denominator is going to be six for both of them. The three over here, times by two, to the top and bottom. So the work for here is this. I need to times this number by a two, times that number by a two up top. So what I got is this. If that three times two is six, then the two times two is negative four, because there's a negative in front of that. So two times two is four. There's also a negative. The five and six kind of stays the same because, technically, you times this by one, you times that by one. So what happened is, you get yourself still the five from before, so that part stays the same. Your final answer to this question turns out to be, again, keep denominator the same, don't change your denominated. But you would take the negative four, add a five, and that leaves you just a one. So there is your final answer, which is one over six. Thanks for watching.

- Hi, welcome to this question right here. So what we have here is the division now. So okay, there's s trick to that. So first of all before we do anything. It's still the original method. We should change to improper fractions. Okay? Excuse me. So what we have here is this. We go ourselves-- Let me just rewrite the question here, down here with the division sign and here's the negative two and the one third, right? So let's change everything to improper fractions, okay? So it looks nicer. So three times one, and so remember through the room. Let me show you a little bit of work. So the work is simple. Let me choose a color pen right here. So three times the one, and plus the one on the top. So okay. This is multiplication, this is addition. Three times one is three, plus one is four. So this is actually negative four over three. Right there. Divided by the same thing right here. Three times two, and you add a one to that. So three times two is six, plus one is seven. Negative seven over three. Okay? 
When you're doing the multiplying and adding this part right here, don't worry about the negative sign. Just bring it down, all right? So we have a negative four over three, divided by negative seven over three, okay? There's two things that we needed to clear before we do anything. First of all, negative and the negative number, if you're dividing or multiplying it doesn't matter which one you're going to do, it becomes positive okay? So you don't have to worry about the negative sign anymore. So if you want, I can actually rewrite it, everything is the same except that the negative signs are gone. Okay, because negative, negative becomes positive whenever you do multiplying or dividing. Then you still have the negative-- the division sign, right? Here's a little trick for us. So four over three divided by seven over three. What happens is, if I just going to bring the work up here, and let's change the color pen so it looks better. Four over three, keep the first part the same, but we can actually change it into multiplying. How do we do that? 
Simply flip the seven with the three. Okay? Flip these two. So we&apos;ve got three over seven. Makes sense so far. So guess what happen, what we have. Well, a little bit of simplifying before we go to the next step. Three and three are cancelled, becomes one and one. So you're just down to four over seven, and four over seven is your final answer, okay? So be careful in the last step right there. Flip it over, do the little simplification and you should get your last answer no problem at all. Thanks for watching.

Similar to the previous section, we will practice adding, subtracting, multiplying, and dividing rational numbers. Rational numbers can be expressed in two forms: fraction form and decimal form. This time, we will deal with rational numbers in fraction form.

Multiplying fractions and whole numbers

Dividing fractions with whole numbers

Multiplying proper fractions

Multiplying improper fractions and mixed numbers