Question

simplify (2/3 × 2/9)÷5/3​

Answer 1

Answer:

LCM of 3,6,9=18

Now let us change each of the given fraction into an equivalent fraction having 18 as the denominator.

(2/3)x(6/6)=(12/18)

and (5/6)x(3/3)=(15/18)

and (1/9)x(2/2)=(2/18)

Now,

=(12/18)+(15/18)−(2/18)

=(12+15−2)/18

=(27−2)/18

=(25/18)

=[1(7/18)]

Answer 2

Given: The equation is $(\frac{2}{3} \times\frac{2}{9}) \div \frac{5}{3}$

We have to solve the above equation.

By using the Bodmas rule, we are Solving the above equation.

As we know that the Bodmas is used to remember the order of operations to be followed while solving expressions in mathematics.

where,

$\begin{array}{l}\mathrm{B}=\text{brackets}\\\mathrm{O}=\text { order of powers or rules } \\\mathrm{D}=\text { division } \\\mathrm{M}=\text { multiplication } \\\mathrm{A}=\text { addition } \\\mathrm{S}=\text { subtraction }\end{array}$

We are solving in the following way:

$(\frac{2}{3} \times\frac{2}{9})\div\frac{5}{3} \\\\=>\frac{4}{27}\div\frac{5}{3}$

Solving the above equation further we get,

$=>\frac{4}{45}$

Hence, after simplifying the above equation we get,$\frac{4}{45}$