Thursday, 2 April 2026
Wednesday, 1 April 2026
Fractions - Order of Operations 3
This is the third example about the order of operations when you have fractions of fractions. There are three videos in this set of videos. Struggling with fractions over fractions? In this video, we dive fractions where one fraction is divided by another — and show exactly how the length of the horizontal fraction bar completely changes the order of operations.
Reduce Fractions To Lowest Form 1
Reduce the fraction to its lowest form.
Wording has many variations: "Simplify the fraction." (Direct and standard), "Write in simplest form." (Often used on assessments) , "Reduce the fraction to its lowest terms." (Traditional), "Cancel down the fraction." "Reduce the fraction to its simplest form." Then by inspection (usually) find the HCF or a common factor, divide top/bottom by that factor. Repeat process until no more common factors other than 1 exist.Fractions - Order of Operations 2
This is another example about the order of operations when you have fractions of fractions. There are three videos in this set of videos. Struggling with fractions over fractions? In this video, we dive fractions where one fraction is divided by another — and show exactly how the length of the horizontal fraction bar completely changes the order of operations.
Fractions - Order of Operations 1
This is an example about the order of operations when you have fractions of fractions. There are three videos in this set of videos. Struggling with fractions over fractions? In this video, we dive fractions where one fraction is divided by another — and show exactly how the length of the horizontal fraction bar completely changes the order of operations.
Monday, 31 July 2017
Algebraic Fractions Examples (5.2, Syl MA5.2-6NA)
Algebraic Fractions Examples (5.2)
Firstly let's make the note that $a$ is the same thing as $1a$ and also $$\frac{a}{3}=\frac{1a}{3}$$
Example:
Firstly let's make the note that $a$ is the same thing as $1a$ and also $$\frac{a}{3}=\frac{1a}{3}$$
Example:
Add & Subtract algebraic fractions =======
(1) $${2a\over 7}+{3a\over 7}={2a+3a\over 7}$$
(2) $${2a\over 5}+{a\over 3}={2a\times 3\over 7\times 3}+{a\times 5\over 3\times 5}={6a+5a\over 15}={11a\over 15}$$
(3) $${3a\over 4}-{2a\over 9}={3a\times 9\over 4\times 9}-{2a\times 4\over 9\times 4}={27a-8a\over 36}={19a\over 36}$$
Improper to Mixed Numeral algebraic fractions =======
(4) (5.3?) $$\begin{array}{l}
{33a\over 7}\\
={(4\times 7 +5)a\over 7}\\
=4{5\over 7}a
\end{array}$$
{33a\over 7}\\
={(4\times 7 +5)a\over 7}\\
=4{5\over 7}a
\end{array}$$
Multiplying algebraic fractions =======
(5)
$$ \begin{array}{l}
{2x\over 3}\times{3x\over 4}\\
={2x\times 3x\over 3\times 4}\\
={6x^2\over 12}\quad \div
\mbox{top & bottom by $6$}\\
={1x^2\over 2}\\
={x^2\over 2}
\end{array}$$
$$ \begin{array}{l}
{2x\over 3}\times{3x\over 4}\\
={2x\times 3x\over 3\times 4}\\
={6x^2\over 12}\quad \div
\mbox{top & bottom by $6$}\\
={1x^2\over 2}\\
={x^2\over 2}
\end{array}$$
(6) ${2a\over 7}+{3a\over 7}={2a+3a\over 7}$
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