Question

provide the number in the box ,such that 3/5×【】=24/75 . the SIMPLEST form of the number OBTAINED in 【】is_____.​

Answer 1

Answer:

$\large{\boxed{\red{\sf\:The\:simplest\:form\:of\:the\:number\:obtained\:is\:\frac{8}{15}}}}$

Step-by-step-explanation:

We have given the product of two fractions.

One of the two fractions is given and we have to find the other fraction.

Let the number in place of the box be x.

$\sf\:\frac{3}{5}\:\times\:x\:=\:\frac{24}{75}\\\\\implies\sf\:x\:=\:\dfrac{\dfrac{24}{75}}{\dfrac{3}{5}}\\\\\implies\sf\:x\:=\:\frac{\cancel{24}}{\cancel{75}}\:\times\:\frac{\cancel5}{\cancel3}\\\\\implies\boxed{\red{\sf\:x\:=\:\frac{8}{15}}}$

$\large{\boxed{\red{\sf\:The\:simplest\:form\:of\:the\:number\:obtained\:is\:\frac{8}{15}}}}$

Additional Information:

1. Fraction:

Any rational number in the form of $\sf\:\frac{p}{q}$ is called as a fraction.

2. Types of fraction:

There are three types of fraction:

A. Proper fraction

B. Improper fraction

C. Mixed fraction

3. Proper fraction:

In this type of fraction, the numerator is less than the denominator.

4. Improper fraction:

In this type of fraction, the denominator is less than the numerator.

In this type of fraction, numerator is also equal to denominator sometimes.

5. Mixed fraction:

In this type of fraction, there is a whole number with a proper fraction.