Question

if
$\frac{a}{b } = \frac{5}{8}$
then find
$\frac{a + b}{b}$
​

Answer 1

Answer:

answer in the attachement

Step-by-step explanation:

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Answer 2

We have been given an equation:

$\longrightarrow \dfrac{a}{b} = \dfrac{5}{8}$

With this information, we have been asked to find the value of:

$\longrightarrow \dfrac{a + b}{b} = ?$

Step-by-step solution:

First let's solve $\frac{a}{b} = \frac{5}{8}$ to get the value of $a$. And then we can substitute the value of $a$ in $\frac{a+b}{b}$ to get the value of the equation.

$\implies \dfrac{a}{b} = \dfrac{5}{8}$

$\implies a = \dfrac{5}{8}b$

Now substituting the value of $a = \frac{5}{8}b$ in $\frac{a+b}{b}$, we get the following results:

$\implies \dfrac{\frac{5}{8}b + b}{b}$

$\implies \dfrac{\frac{5b + 8b}{8}}{b}$

$\implies \dfrac{\frac{13b}{8}}{b}$

$\implies \dfrac{13 \cancel{b}}{8} \times \dfrac{1}{\cancel{b}}$

$\implies \cancel{\dfrac{13}{8}}$

$\implies \boxed{1.625}$

Hence, the value of $\frac{a+b}{b}$ is $1.625$.