how to solve y-4/5=2 1/2
multiply everything by 10
how that makes no sense to me ive tried everything been stuck on this prob for forever can you please just answer it
wat are the options
could some one just solve this problem
\[y-(4/5)=2+(1/2) or (y-4)/5=2+(1/2)?\]
@shantallyd
the first one except its 2 and 1/2 like a mixed number
(The equation thing doesn't have mixed numbers so I'll represent 2 and 1/2 as the simple fraction 5/2 (but 2 and 1/2=2+1/2, that's what mixed numbers mean)). \[y-(4/5)=5/2\]Add 4/5 to both sides:\[y=5/2+4/5\]Bring to LCD:\[y=(5/2)*(5/5)+(4/5)*(2/2)\]\[y=(25/10)+(8/10)\]Simplify:\[y=33/10\]This is the simplest form as 33 (3*11) shares no factors with 10 (2*5), but the mixed number form is 3 + 3/10.
3 and 3/10, if you want.
finally thanx
Alternatively, multiply everything by 10: \[10*(y-(4/5))=10*(5/2)\]By distributive law:\[10*y-10*(4/5)=10*(5/2)\]\[10y-40/5=50/2\]\[10y-8=25\]Add 8:\[10y=33\]Divide by 10:\[y=33/10\]It's the same both ways.
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