Question

How do I draw a tape diagram showing the equivalence of 24:32 and 48:64

Answer 1

Start by simplifying both fractions

$\dfrac{24}{32}=\dfrac{12}{16}=\dfrac{6}{8}=\dfrac{3}{4} \\\dfrac{48}{64}=\dfrac{24}{32}=\dfrac{12}{16}=\dfrac{6}{8}=\dfrac{3}{4}$

As you can see both fractions simplify to a same value hence the equality

$\dfrac{24}{32}=\dfrac{48}{64}$

stands.

Hope this helps.