dawit92 dawit92
  • 21-12-2019
  • Mathematics
contestada

if a/b = c/d then show that a/b+a = c/d+c ?​

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DeanR
DeanR DeanR
  • 21-12-2019

[tex]\dfrac a b = \dfrac c d[/tex]

Cross multiply,

[tex]ad = bc[/tex]

Add ac to both sides,

[tex]ad + ac = bc + ac[/tex]

Factor,

[tex]a(d+c) = c(b+a)[/tex]

Divide by (b+a)(d+c),

[tex]\dfrac{a}{b+a} = \dfrac{c}{d+c} \quad\checkmark[/tex]

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