Question

what is the reciprocal of 9/10

Answer 1

Answer:

$\frac{10}{9}$ is the reciprocal of $\frac{9}{10}$.

Explanation:

Given that, $\frac{9}{10}$

• Reciprocal - A number that when multiplied by a number x results in the multiplicative identity, 1, is known as a multiplicative inverse or reciprocal, indicated by $\frac{1}{x}$ or $x^{-1}$ .

• A fraction $\frac{a}{b}$has a multiplicative inverse of $\frac{b}{a}$. Divide 1 by the real number to get the multiplicative inverse of that number.

So, the reciprocal of $\frac{9}{10}$ is $\frac{10}{9}$.

Final answer:

Hence, $\frac{10}{9}$ is the reciprocal of $\frac{9}{10}$.

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Answer 2

Answer:

Reciprocal of 9/10 = 10/9.

Step-by-step explanation:

A fraction or number that, when multiplied by 9/10, equals 1, is the reciprocal of 9/10. Based on that definition, we can create the equation below, where "R" stands for the reciprocal of 9/10.

$(9/10) * R = 1$

The reciprocal of 9/10 is given as the following fraction when we solve for R:

$(9/10) * R = 1$

$R = 10/9$

So, Reciprocal of 9/10 = 10/9

• By confirming that 9/10 times its reciprocal is equal to 1, like in the following example, you can determine whether the response is correct: 9/10 X 10/9 = 1
• In order to calculate the reciprocal of 9/10 in decimal form, divide the reciprocal's numerator by its denominator as follows:
• 10 /9 = 1.111111111111
• reciprocal of 9/10 = 1.111111111111

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