What is 11/45 multiplied by its reciprocal

Understand Reciprocal Concept: Understand the concept of a reciprocal. The reciprocal of a number is a number which, when multiplied by the original number, gives a product of 1. For a fraction, the reciprocal is obtained by swapping the numerator and the denominator.Identify Reciprocal of 11/45: Identify the reciprocal of 11/45. The reciprocal of 11/45 is 45/11 because we swap the numerator and the denominator.Multiply by Reciprocal: Multiply the original fraction by its reciprocal. Now we multiply 11/45 by its reciprocal, which is 45/11. (11/45) * (45/11) = (11*45) / (45*11)Simplify Multiplication: Simplify the multiplication. Since the numerator and the denominator have common factors, they can be simplified. (11*45) / (45*11) = 1/1 This is because 11/11 is 1 and 45/45 is also 1.Conclude Result: Conclude the result. The result of multiplying a number by its reciprocal is always 1.

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What is $\frac{11}{45}$ multiplied by its reciprocal

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Grade 7

Multiplicative inverses

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Q. What is

\frac{11}{45}

multiplied by its reciprocal

Understand Reciprocal Concept: Understand the concept of a reciprocal. The reciprocal of a number is a number which, when multiplied by the original number, gives a product of $1$ . For a fraction, the reciprocal is obtained by swapping the numerator and the denominator.
Identify Reciprocal of $\frac{11}{45}$ : Identify the reciprocal of $\frac{11}{45}$ . The reciprocal of $\frac{11}{45}$ is $\frac{45}{11}$ because we swap the numerator and the denominator.
Multiply by Reciprocal: Multiply the original fraction by its reciprocal. $\newline$ Now we multiply $\frac{11}{45}$ by its reciprocal, which is $\frac{45}{11}$ . $\newline$ $(\frac{11}{45}) \times (\frac{45}{11}) = (\frac{11\times45}{45\times11})$
Simplify Multiplication: Simplify the multiplication. $\newline$ Since the numerator and the denominator have common factors, they can be simplified. $\newline$ $(11\times45) / (45\times11) = 1/1$ $\newline$ This is because $11/11$ is $1$ and $45/45$ is also $1$ .
Conclude Result: Conclude the result. $\newline$ The result of multiplying a number by its reciprocal is always $1$ .