Respuesta :

Answer:

It depends how the question wants the answer but here are the different ways it can be written

y = [tex]\frac{3}{2}[/tex]

y = [tex]1\frac{1}{2}[/tex]

y = 1.5

Step-by-step explanation:

[tex]\frac{10}{2\frac{1}{2} } =\frac{6}{y} =[/tex]

[tex]10y=6* 2 \frac{1}{2}[/tex]

The 2 1/2 can be turned into 2.5

[tex]10y=6* 2.5[/tex]

[tex]10y=15[/tex][tex]y=\frac{15}{10} \\y = \frac{3}{2} \\[/tex]

Which can also be shown as

y= 1 [tex]\frac{1}{2}[/tex]

or y = 1.5

I believe that they want the answer as a mix fraction which is 1  1/2

Hope this helps!

Please mark as brainiest :)

Answer:

y = 3/2 or 1 1/2

3/2 is the improper fraction

1 1/2 is the mixed number

either one shall work

Step-by-step explanation:

step 1: convert mixed fractions into an improper fraction

ex: 2 1/2 = 5/2   (10/5/2 = 6/y)

step 2: cross multiply (a/b = c/d then a * d = b * c)

ex: 10y = 5/2 * 6

step 3: simplify the equation (multiply 5/2 by 6)

ex: 10y = 15

step 4: divide both side by 10

ex: 10y/10 = 15/10   (y = 15/10)

step 6: simplify the equation if you are able to

ex: 15/10 = 3/2   (y = 3/2)

step 7: convert the improper fraction into a mixed number

ex: 3/2 = 1 1/2   (y = 1 1/2)

step 8: check your answer by plugging in why with 1 1/2

ex: 10/2 1/2 = 6/1 1/2

10/5/2 = 6/3/2

4 = 4 (if both sides of the equation are the same like 4 = 4 then your answer is true meaning y = 1 1/2) P.S may i have brain if this has given you more enlightenment on solving fractions with one variable