Question

From a rod 81/4 metre,4/9th of it was sold.the remaining portion was divided into 9 equal parts. find the length of each part.​ find the length of each parts

Answer 1

Answer:

$\boxed{\bf \: Length\:of \: each \: part = \dfrac{5}{4} \: m \: }$

Step-by-step explanation:

Given that, length of rod is $\sf \: \frac{81}{4}$ m.

Length sold is $\sf \: \frac{4}{9}$ th of $\sf \: \frac{81}{4}$ m.

So,

$\implies\sf \: Length\:sold = \dfrac{4}{9} \times \dfrac{81}{4} = 9 \: m$

Thus,

$\sf \: Remaining \: length\:of \: rod = \dfrac{81}{4} - 9 = \dfrac{81 - 36}{4} = \dfrac{45}{4} \: m$

Now, further given that the remaining portion was divided into 9 equal parts.

So,

$\sf \: Length\:of \: each \: part$

$\sf \: = \: \dfrac{Remaining \: length \: of \: rod}{9}$

$\sf \: = \: \dfrac{45}{4} \div 9$

$\sf \: = \: \dfrac{45}{4} \times \dfrac{1}{9}$

$\sf \: = \: \dfrac{5}{4}$

Hence,

$\implies\sf \: \boxed{\bf \: Length\:of \: each \: part = \dfrac{5}{4} \: m \: }$

$\rule{190pt}{2pt}$

Additional Information

1. Commutative Property of Addition.

$\sf \: \boxed{ \sf{ \:a + b = b + a \: }}$

2. Associative Property of Addition

$\sf \: \boxed{ \sf{ \:(a + b) + c = a + (b + c) \: }}$

3. Additive Identity

$\sf \: \boxed{ \sf{ \:x + 0 = 0 + x = x \: }}$

4. Commutative Property of Multiplication

$\sf \: \boxed{ \sf{ \:a \times b = b \times a \: }}$

5. Associative Property of Multiplication

$\sf \: \boxed{ \sf{ \:(a \times b) \times c = a \times (b \times c) \: }}$

6. Multiplicative Identity

$\sf \: \boxed{ \sf{ \:x \times 1 = 1 \times x = x \: }}$

Answer 2

Step-by-step explanation:

Hope this helps you!!!!!