Question

By what number should 13/5 be multiple to get 13/7​

Answer 1

Answer:

5/7 is the answer hope you are well

Answer 2

Answer:

Given:-

By what number should $\dfrac{13}{5}$ be multiple to get $\dfrac{13}{7}$.

To Find:-

The other or second number.

Note:-

●》Here, we will find the other or second number by "First/one number × Second/other number = Their product" and also by transposing.

●》Transposing - For finding unknown value, known value needs to be transposed from its side to another and also signs are changed. For example - Multiple becomes Divisional.

●》Two fractions can't be divided easily, for that we use reciprocal method. For example - $\dfrac{1}{x} ÷ \dfrac{1}{x} \ \ changes \ \ to \ \ \dfrac{1}{x} × \dfrac{x}{1}$

Solution:-

$\huge\red{First/one \ \ number = \dfrac{13}{5}}$

$\huge\red{Product \ \ of \ \ 1st/one \ \ and \ \ 2nd/other \ \ number = \dfrac{13}{7}}$

$\huge\red{\ \ \ \ Second/one \ \ number = ?, Let \ \ it \ \ be "x"}$

☆ According to note first point~

▪︎$First/one \ \ number × Second/other \ \ number = Their \ \ product$

▪︎$\dfrac{13}{5} × x = \dfrac{13}{7}$

▪︎$\dfrac{13}{5}x = \dfrac{13}{7}$

☆ According to note second point ( Transposing )~

▪︎$x = \dfrac{13}{7} ÷ \dfrac{13}{5}$

☆ According to note third point ( Reciprocal )~

▪︎$x = \dfrac{13}{7} × \dfrac{5}{13}$

▪︎$x = \dfrac{65}{91}$

☆ After reducing by 13~

▪︎$x = \dfrac{5}{7}$

$\huge\pink{Second/other \ \ number = x => \dfrac{5}{7}}$

Checking:-

♤ Let's check that First/One number × Second/Other number = Their product or not.

• $First/One \ \ number × Second/Other \ \ number = Their \ \ product \implies ?$

• $\dfrac{13}{5} × \dfrac{5}{7} = \dfrac{13}{7} \implies ?$

• $\dfrac{65}{35} = \dfrac{13}{7} \implies ?$

♤ After dividing~

• $\dfrac{13}{7} = \dfrac{13}{7} \implies ✔$

$\huge\green{Hence, Proved : Second/other \ \ number = \dfrac{5}{7}}$

Answer:-

Hence, the second/other number = $\dfrac{5}{7}$.

:)