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]