Question

How much more is ½ of ⅔ than ⅓ of ⅜?

Answer 1

Answer:

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Answer 2

We are asked to find the difference between ½ of ⅔ and ⅓ of ⅜, wherein ½ of ⅔ is the greater value. The question can be broken down into 3 simple steps.

→ The value of  ½ of ⅔

$\sf{\Rightarrow\dfrac{1}{2}\:of\:\dfrac{2}{3}=\dfrac{1}{2}\times\dfrac{2}{3}}$

as 'of' represents multiplication.

$\sf{\Rightarrow\dfrac{1\times2}{2\times3}}$

$\sf{\Rightarrow\dfrac{2}{6}$

$\boxed{\sf{=\dfrac{1}{3}}}$

→ The value of ⅓ of ⅜

$\sf{\Rightarrow\dfrac{1}{3}\:of\:\dfrac{3}{8}=\dfrac{1}{3}\times\dfrac{3}{8}}$

as 'of' represents multiplication.

$\sf{\Rightarrow\dfrac{1\times3}{3\times8}}$

$\sf{\Rightarrow\dfrac{3}{24}}$

$\boxed{\sf{=\dfrac{1}{8}}}$

→ Subtracting ⅛ from ⅓

$\sf{\Rightarrow\dfrac{1}{3}-\dfrac{1}{8}}$

LCM of 3 and 8 = 24

Making ⅓ and ⅛ like fractions:

$\sf{\Rightarrow\dfrac{1\times8}{3\times8}-\dfrac{1\times3}{8\times3}}$

$\sf{\Rightarrow\dfrac{8}{24}-\dfrac{3}{24}}$

$\sf{\Rightarrow\dfrac{8-3}{24}}$

$\boxed{\sf{=\dfrac{5}{24}}}$

Therefore, ½ of ⅔ is greater than ⅓ of ⅜ by 5/24.