Find the number if:

5/9 of it is 90.

And another similar question;

Find the number if:

7/3 of it is 5 5/6


I need help with both of these questions.

Respuesta :

Answer:

162 and [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

To find the original number multiply by the reciprocal of the multiplier, that is

90 × [tex]\frac{9}{5}[/tex] = [tex]\frac{810}{5}[/tex] = 162

------------------------------------------------------------------------

Similarly

Change the mixed number into an improper fraction

5 [tex]\frac{5}{6}[/tex] = [tex]\frac{35}{6}[/tex] , then

[tex]\frac{35}{6}[/tex] × [tex]\frac{3}{7}[/tex] ( cancel 35 and 7 by 7 / cancel 6 and 3 by 3 )

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{1}[/tex]

= [tex]\frac{5}{2}[/tex]

Answer:

162

Step-by-step explanation:

If it is 5/9 of the original number is 90 we can just divide 90 by 5 to find 1/9 and then we can multiply that with 9 to get 9/9 which is the whole number.

90 ÷ 5 = 18

18 × 9 = 162