Question

divide the sum of -13/5 and 12/7 by the product of -13/7 and -1/2.​

Answer 1

Answer:

Given:-

Divide the sum of $- \dfrac{13}{5}$ and $\dfrac{12}{7}$ by the product of $- \dfrac{13}{7}$ and $- \dfrac{1}{2}$.

To Find:-

The division of given values.

Note:-

●》Here as per question; we will add the first terms and multiply the seconds terms then from the obtained terms, we will divide the sum of $- \dfrac{13}{5} \ \ and \ \ \dfrac{12}{7}$ by product of $- \dfrac{13}{7} \ \ and - \dfrac{1}{2}$.

Solution:-

[ First adding the terms ]

$\huge\red{Values = - \dfrac{13}{5} \ \ and \ \ \dfrac{12}{7}}$

$\huge\red{ \ \ \ \ Their \ \ sum = ?}$

☆ According to note first point~

▪︎$- \dfrac{13}{5} + \dfrac{12}{7}$

☆ L.C.M = 35~

▪︎$- \dfrac{13}{5} × \dfrac{7}{7} + \dfrac{12}{7} × \dfrac{5}{5}$

▪︎$- \dfrac{91}{35} + \dfrac{60}{35}$

▪︎$+ \dfrac{60}{35} - \dfrac{91}{35}$

☆ As, Positive sign × Negative sign = Negative sign, so we will subtract here~

▪︎$\dfrac{60}{35} - \dfrac{91}{35}$

▪︎$- \dfrac{31}{35}$

$\huge\pink{Their \ \ sum = - \dfrac{31}{35}}$

______________________________________________________

[ Now, multiplying ]

$\huge\red{Values = - \dfrac{13}{7} \ \ and \ \ - \dfrac{1}{2}}$

$\huge\red{ \ \ \ \ Their \ \ product = ?}$

☆ According to note first point only ( As we know, product is multiplying )~

▪︎$- \dfrac{13}{7} × - \dfrac{1}{2}$

☆ As Negative sign × Negative sign = Positive sign, so their will be positive sign ( no need to write positive sign )~

▪︎$\dfrac{13}{14}$

$\huge\pink{Their \ \ product = \dfrac{13}{14}}$

_______________________________________________________

[ At last, Dividing ]

$\huge\red{Values = - \dfrac{31}{35} \ \ and \ \ \dfrac{13}{14}}$

$\huge\red{ \ \ \ \ Their \ \ divided \ \ term = ?}$

☆ As we know that, we will divide first term by second term~

▪︎$- \dfrac{31}{35} ÷ \dfrac{13}{14}$

☆ Reciprocating the divided term~

▪︎$- \dfrac{31}{35} × \dfrac{14}{13}$

▪︎$- \dfrac{434}{455}$

☆ After reducing by 7~

▪︎$- \dfrac{62}{65}$

$\huge\green{Their \ \ divided \ \ term = - \dfrac{62}{65}}$

Answer:-

Hence, the division of given values = $- \dfrac{62}{65}$.

:)