Question

How do you convert \[{56}/{64}\;\]into a percent and a decimal?

Answer 1

Hint: In order to find a solution to this problem, we will break down by first simplifying the fraction; we will simplify the fraction by dividing the numerator and the denominator by $8$. On simplifying, we will get our decimal. After we get our decimal number, we will then convert it into percent by multiplying the decimal number by $100$.

Complete step by step solution:
As we know from our problem that we have to convert our fraction into percent and decimal. Therefore, we will first convert the fraction into decimal numbers and then convert that decimal number into percent.
We will change the fraction to a decimal by just having to divide the Quotient by the Divisor.
Therefore, first we will simplify the fraction by dividing numerator and denominator by $8$.
On simplifying our fraction, we get:
$\Rightarrow \dfrac{56}{64}\times \dfrac{8}{8}$
On simplifying, we get:
$\Rightarrow \dfrac{56}{64}=\dfrac{7}{8}$
Now, change the fraction to a decimal by just having to divide the Quotient by the Divisor.
On simplifying, we get:
$\Rightarrow \dfrac{7}{8}=0.875$
Therefore, our decimal number is $0.875$.
Now, we will have to convert our decimal number to percent.
Percent is denoted by the symbol $\%$; To change fractions to a percentage, we will just have to multiply the fraction by $100$.
Therefore, to write our decimal number to percentage, we will multiply it by $100$.
$\Rightarrow 0.875\times 100$
On simplifying our percent, we get:
$\Rightarrow 87.5\%$

Therefore, on evaluating and converting our fraction, we get our decimal as $0.875$ and the percentage as $87.5\%$.

Note: While doing percentage, decimals and fraction problem we have remember that "percent" means out of $100$, so we have:
\[1\%=0.01=\dfrac{1}{100}\]
It is to be remembered that when a term is multiplied and divided by the same term, its value does not change which is the reason why we multiplied and divided our fraction with $8$.