Question

Fill in the blanks:

$\frac{5}{4} = \frac{?}{16} = \frac{25}{?} = \frac{ - 15}{?}$
​

Answer 1

Question :- fill in the blanks :- -5/4=_/16=25/_=(-15)/_ ?

Solution :-

→ -5/4= _/16 = 25/_= (-15)/_

first Blank :-

→ (-5/4) = ( _ )/16

Multiply and divide by 4 in LHS,

→ (-5 * 4) / (4 * 4)

→ (-20/16) .

therefore, (-20) will be their in the blanks.

Second Blank :-

→ (-5/4) = 25/( _ )

Multiply and divide by (-5) in LHS,

→ (-5 * -5) / (4 * -5)

→ (25/-20) .

therefore, (-20) will be their in the blanks.

Third Blank :-

→ (-5/4) = (-15)/( _ )

Multiply and divide by 3 in LHS,

→ (-5 * 3) / (4 * 3)

→ (-15/12) .

therefore, 12 will be their in the blanks.

Hence,

(-5/4) = (-20/16) = 25/(-20) = (-15/12) .