Question

the product of two rational numbers is 28/27.If one of the numbers is 4/9 find the other

Answer 1

Concept:

Fraction is ratio or comparison between two mathematical quantities or numbers or values.

Replace the unknown quantity by variable and then form a mathematical equation using the given condition and variable. On solving which we can find the required value or quantity.  

Given:

Given that, the product of two rational numbers is 28/27 and one of the numbers is 4/9

Find:

The other fraction or number.

Solution:

Let the other number be = x

The product of x and 4/9 is given by = x*(4/9) = 4x/9  

According to the given information this product value is 28/27, then the mathematical equation is given by,

4x/9 = 28/27

4x = 9*(28/27)

4x = 28/3

x = 28/(3*4)

x = 7/3

Hence the required another fraction is given by 7/3.

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Answer 2

Answer: The number is $\frac{7}{3}$

Step-by-step explanation:

In mathematics, any number that can be written as p/q where q 0 is considered a rational number. Additionally, every fraction that has an integer denominator and numerator and a denominator that is not zero falls into the category of rational numbers. The outcome of dividing a rational number, or fraction, will be a decimal number, either a terminating decimal or a repeating decimal.

Let the number be x

Given one of the numbers is $\frac{4}{9}$

Also given, the product of two rational numbers is $\frac{28}{27}$

So,

$\frac{4}{9}\times x=\frac{28}{27}\\Cross\ multiplying\\\Rightarrow x =\frac{28}{27}\times \frac{9}{4}\\\therefore x=\frac{7}{3}$

To know more about the multiplication of rational numbers, click on the links below:

https://brainly.in/question/17418878

https://brainly.in/question/132079

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