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Equivalent fractions and simplifying
What a fraction means, making equivalent fractions, and simplifying fractions to lowest terms using the highest common factor.
What a fraction means
In $\dfrac{3}{5}$, the denominator $5$ says the whole is cut into $5$ equal parts. The numerator $3$ says how many parts we have.
Equivalent fractions
Multiplying top and bottom by k changes how the fraction looks, not its value (the line's steepness).
To simplify, divide the top and bottom by their HCF.
Simplify $\dfrac{24}{36}$.
Find the missing number: $\dfrac{3}{8} = \dfrac{\square}{56}$.
Simplify $\dfrac{24}{36}$.
Divide by $12$.
$\dfrac{3}{8} = \dfrac{\square}{56}$. Find the missing number.
Multiply by $7$.
Simplify $\dfrac{15}{20}$.
Divide by $5$.
Which is not equal to $\dfrac{2}{5}$?
$\dfrac{3}{6} = \dfrac{1}{2}$.
$\dfrac{5}{9} = \dfrac{25}{\square}$. Find the missing number.
Multiply by $5$.
Simplify $\dfrac{56}{72}$.
Divide by $8$.
What fraction of an hour is $20$ minutes? Simplify.
$\dfrac{20}{60}$.
In $\dfrac{7}{12}$, the numerator is:
The top number.
New numbers every time. Keep going until you get five in a row.