Question

If 4/9 ÷ x = -10/3
Then findi the value of x






Plzplz fast

Answer 1

Heya !!

Solution:

$\dfrac{4}{9} \div x = - \dfrac{10}{3}\\\\\implies \dfrac{4}{9} \times \dfrac{1}{x} = - \dfrac{10}{3}\\\\\implies \dfrac{1}{x} = - \dfrac{10}{3} \times \dfrac{9}{4}\\\\\implies \dfrac{1}{x} = - \dfrac{15}{2}\\\\\implies x = \large \underline{\boxed{\boxed{- \dfrac{2}{15}}}}$

Verification:

$\dfrac{4}{9} \div x = - \dfrac{10}{3}\\\\\text{Put x = - \dfrac{2}{15} }\\\\\text{Taking L.H.S,}\\\\\dfrac{4}{9} \div (- \dfrac{2}{15}) = \dfrac{4}{9} \times - \dfrac{15}{2}\\\\= - \dfrac{10}{3} = R.H.S.\\\\\text{Hence, Verified !}$

Hope it helps !!

Answer 2

HERE IS. SOLUTION.

$\frac{4}{9} \div x = - \frac{10}{3}$

so

$\frac{4}{9} \times \frac{1}{x}= - \frac{10}{3}$

=>

$\frac{1}{x} = - \frac{10}{3} \times \frac{9}{4}$

=>

$x = - \frac{15}{2}$