Question

Find the value of X in the proportion 1/6 : X = 1/2 :1/5

Answer 1

hi mate! here's your answer

we will use the formula of A*D/B*C

now x is in ratio and its denominator will be 1

so

1*1/6*x=1*5/2*1

1/6x=5/2

6x*5=2*1

30x=2

x=2/30

x=1/15

hope it helps

please mark it aas brainliest if you find it helpful.

Answer 2

Dear student,

To find the value of "x" in this given proportion simplify the right hand side that is,

By applying the fraction rule in the right hand side that is;

$\bf{\dfrac{a}{b} \: \: divided \: by \: \: \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}}$

$\bf{\therefore \quad \dfrac{1}{6} : X = \dfrac{1}{2} \times \dfrac{5}{1}}$

$\bf{\therefore \quad \dfrac{1}{6} : X = \dfrac{5}{2}}$

Convert the given element on the left hand side into a fraction that is "X" is "X/1",

$\bf{\dfrac{1}{6} \: \: divided \: by \: \: \dfrac{X}{1} = \dfrac{5}{2}}$

By applying the fraction rule in the right hand side that is;

$\bf{\dfrac{a}{b} \: \: divided \: by \: \: \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}}$

$\bf{\therefore \quad \dfrac{1}{6} \times \dfrac{1}{X} = \dfrac{5}{2}}$

$\bf{\therefore \quad \dfrac{1}{6X} = \dfrac{5}{2}}$

Now, just apply the principles of cross multiplication for fractional values that is,

$\bf{If, \: \dfrac{a}{b} = \dfrac{c}{d}; \: then, \: \: a \times d = b \times c}$

$\bf{\therefore \quad 1 \times 2 = 6X \times 5}$

$\bf{\therefore \quad 2 = 6X \times 5}$

Switch or interchange both sides;

$\bf{6X \times 5 = 2}$

Divide both the following sides by the multiplied value of "6 * 5";

$\bf{\therefore \quad \dfrac{6X \times 5}{6 \times 5} = \dfrac{2}{6 \times 5}}$

$\bf{\therefore \quad X = \dfrac{2}{30}}$

$\boxed{\bf{\underline{\therefore \quad X = \dfrac{1}{15}}}}$

VERIFY THE SOLUTIONS:

Substitute the value of "X" into left hand side;

$\bf{\dfrac{1}{6 \times \dfrac{1}{15}} = \dfrac{5}{2}}$

$\bf{\therefore \quad \dfrac{1}{\dfrac{6}{15}} = \dfrac{5}{2}}$

$\bf{\therefore \quad \dfrac{1}{\dfrac{2}{5}} = \dfrac{5}{2}}$

$\bf{\therefore \quad \dfrac{5}{2} = \dfrac{5}{2}}$

Answer stays as "1/15".

Which is the required solution for these types of queries.

Hope this helps you and clear your doubts for finding the values of variables via detailed process of fractional simplification !!!!!!!!