Question

which number should be added to - 7/3 to get - 5/7 ​

Answer 1

Explanation:

Hence, 58/21 should be added to -7/3 to get 3/7

Answer 2

Question :

which number should be added to - 7/3 to get - 5/7

Solution :

Let the unknown entity be x

According to the question,

x should be added to -7/3 to get - 5/7

$\sf \small x + ( - \frac{7}{3} ) = ( - \frac{5}{7} )$

$\sf \small x - \frac{7}{3} = - \frac{5}{7}$

Now we need to ta take the L.C.M. of the denominators 1 and 3 i.e. 3

$\sf \small \frac{x \times 3}{1 \times 3} - \frac{7 \times 1}{3 \times 1} = - \frac{5}{7}$

$\sf \small \frac{3x}{3} - \frac{7}{3} = - \frac{5}{7}$

$\sf \small \frac{3x - 7}{3} = - \frac{5}{7}$

By cross multiplication we get

$\sf \small 7(3x - 7) = - 5 \times 3$

$\sf \small21x - 49 = - 15$

$\sf \small21x = 49 - 15$

$\sf \small21x = 34$

$x = \frac{34}{21}$

$\sf \small x = 1 \frac{13}{21}$

$\frak{So \: the \: resultant \: number \: is \: \pink{ \underline{ \boxed{ \green{1 \frac{13}{21} }}}}}$

More Information :

• (+) × (+) = (+)

• (+) × (–) = (–)

• (–) × (–) = (+)

• (–) × (+) = (–)