Solve the equation and check the solution. $a-2 \frac{1}{2}=1 \frac{1}{2}$
$a=1$
$a=3 \frac{1}{2}$
$a=4$
$a=4 \frac{1}{2}$





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Respuesta :

Answer :

  • $a = $ 4

Explanation :

  • $(a - 2½) = $ 1 ½

convert the mixed fractions to improper fractions

  • $( a - 5/2) = $ 3/2

simplify by finding a common denominator

  • $(a - 5/2) = $ 3/2

add $ 5/2 to both the sides

  • $ a - $ 5/2 + $ 5/2 = $ 3/2 + $5/2
  • $ a = $ 8/2

find the simplest form

  • $ a = $ 4*2/2
  • $ a = $ 4

Answer:

a = 4

Explanation:

Given following:

[tex]$\sf a-2 \frac{1}{2}=1 \frac{1}{2}$[/tex]

change side:

[tex]$\sf a=1 \frac{1}{2} + 2 \frac{1}{2}$[/tex]

convert mixed fraction to improper fraction

[tex]$\sf a= \frac{2(1)+ 1}{2} + \frac{2(2)+1}{2}$[/tex]

simplify

[tex]$\sf a= \frac{3}{2} + \frac{5}{2}$[/tex]

join fractions together (denominator same)

[tex]$\sf a= \frac{3+5}{2}= \frac{8}{2}$[/tex]

evaluate

[tex]$\sf a= 4 $[/tex]