Question

If a/4 = 2/3, then (a - 4)/4 would equal A.-1/3 B.0C.-2/3 D.1/3​

Answer 1

Answer :-

$\odot$$\sf {\dfrac {-1}{3}}$

${\bigcirc}$0

$\bigcirc$$\sf {\dfrac {-2}{3}}$

$\bigcirc$$\sf {\dfrac {1}{3}}$

__________________

Calculations:-

Let's understand the concept:-

• Here for solution We need to find Value of a first .
• Then we can find the required value.

Solution:-

• First write the given equation

$\longrightarrow$$\sf {\dfrac {a}{4}}={\dfrac {2}{3}}$

• Use cross multiplication method

$\longrightarrow$$\sf 3a=2×4$

$\longrightarrow$$\sf 3a=8$

• Now interchange both sides and get a

$\longrightarrow$$\sf a={\dfrac {8}{3}}$

Now,

• Substitute the values in the equation

$\longrightarrow$$\sf {\dfrac {a-4}{4}}$

$\longrightarrow$$\sf {\dfrac {{\dfrac {8}{3}}-4}{4}}$

• Simplify

$\longrightarrow$$\sf ({\dfrac {8}{3}}-4)\times {\dfrac {1}{4}}$

$\longrightarrow$$\sf ({\dfrac {8-12}{3}})\times{\dfrac{1}{4}}$

$\longrightarrow$$\sf {\dfrac {{\cancel{-4}}}{3}}\times {\dfrac {1}{{\cancel{4}}}}$

$\longrightarrow$$\sf {\dfrac {-1}{3}}$

$\therefore$${\underline{\boxed{\bf {\dfrac {(a-4)}{4}}={\dfrac {-1}{3}}}}}$