Question

1/8 + 6a/5 = 3/8 + 2a/5 + 7/8 So what is a? (in simplest form)

Answer 1

Answer:

a = 45/32

Step-by-step explanation:

1/8 +6 a/5 = 3/8 + 2a/5 + 7/8

( 5 + 48a )/40 = ( 15 + 16a + 35 )/40

5 + 48a = 50 + 16a

48a - 16a = 50 - 5

32a = 45

a = 45/32

Answer 2

$\tt \implies\dfrac{ 1 }{ 8 } + \dfrac{ 6a }{ 5 } = \dfrac{ 3 }{ 8 } + \dfrac{ 2a }{ 5 } + \dfrac{ 7 }{ 8 }$

$\tt \implies5+8\times 6a=15+8\times 2a+35$

$\tt \implies5+48a=15+8\times 2a+35$

$\tt \implies5+48a=15+16a+35$

$\tt \implies5+48a=50+16a$

$\tt \implies5+48a-16a=50$

$\tt \implies5+32a=50$

$\tt \implies32a=50-5$

$\tt \implies32a=45$

$\red{ \tt \implies a = \dfrac{45}{32} }$

$\color{red} \bigstar \quad \tt a = \dfrac{45}{32} = 1\dfrac{13}{32} = 1.40625 \quad \bigstar$