Question

Find the reciprocal of 2/9 by 1/2

Answer 1

Hi !!

Here is the answer.

Given :
$\frac{2}{9} \div \frac{1}{2} =$
$\frac{2}{9} \times 2 = \frac{4}{9}$

Reciprocal is same as Multiplicative inverse ....

Number × Reciprocal of number = 1.
And, Multiplicative Inverse of a/b = b/a.

So, Multiplicative inverse of 2/9 by 1/2 or 4/9 = 9/4.

Hope You Got It

Answer 2

Answer:

The required reciprocal of a number is 9/4.

Step-by-step explanation:

Reciprocal of a number:-

• The inverse of a value or a number is known as reciprocal of a number.
• The conversion of the upside-down of a number is called reciprocal of a number.

Step 1 of 2

To find:-

The reciprocal of the number 2/9 by 1/2.

Consider the given expression as follows:

2/9 by 1/2

⇒ 2/9 ÷ 1/2

⇒ $\frac{2/9}{1/2}$

Simplify the expression as follows:

⇒ $\frac{2\times2}{9}$

⇒ 4/9

Hence the simplified value of the given expression is 4/9.

Step 2 of 2

Now, find the reciprocal of the number 4/9.

Write the value of the numerator in the denominator and the vice-versa.

⇒ 9/4

Final answer: The required reciprocal is 9/4.

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