Question

Write three equivalent rational numbers for -5/7, one of which should have denominator (-56).​

Answer 1

Given :- Write three equivalent rational numbers for -5/7, one of which should have denominator (-56). ?

Solution :-

→ given rational number is = (-5/7)

now, in order to find the equivalent rational numbers for -5/7 we have to multiply both numerator and denominator by same number .

so,

→ Multiply both numerator and denominator by 2 = (-5/7) * (2/2) = (-10/14)

→ Multiply both numerator and denominator by 3 = (-5/7) * (3/3) = (-15/21)

and,

→ for denominator (-56) Multiply both numerator and denominator by 8 = (-5/7) * (8/8) = (-40/56) = 40/(-56)

Learn more :-

let a and b positive integers such that 90 less than a+b less than 99 and 0.9 less than a/b less than 0.91. Find ab/46

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Answer 2

HELLO DEAR,

GIVEN:- Write three equivalent rational numbers for -5/7,

one of which should have denominator (-56).

SOLUTION:-The number $\large{\frac{-5}{7}}$ is rational number.

To obtain number equivalent to $\large{\frac{-5}{7}}$ shout be

Multiple by $\large{\frac{2}{2}}$ , $\large{\frac{3}{3}}$

and $\large{\frac{8}{8}}$ .

So, the first number equivalent to $\large{\frac{-5}{7}}$ is,

$\large{\frac{-5×2}{7×2}}$ = $\large{\frac{-10}{14}}$

the second number equivalent to $\large{\frac{-5}{7}}$ is,

$\large{\frac{-5×3}{7×3}}$ = $\large{\frac{-15}{21}}$

the third number equivalent to $\large{\frac{-5}{7}}$ is,

$\large{\frac{-5×8}{7×8}}$ = $\large{\frac{-40}{56}}$

The number which is equivalent to $\large{\frac{-5}{7}}$

and the denominator is (-56) is $\large{\frac{-40×-1}{56×-1}}$

=> $\large{\frac{40}{-56}}$

THANKS.