Question

What is 0.88 as a percent and as a fraction or mixed number?

Answer 1

Hint: To convert 0.88 into the percent from multiply it with 100 and include the percentage sign (%) after the numerical value. Now, to convert 0.88 into the fraction, first assume it is equal to x and multiply both the sides with 100 to remove the decimal point. In the next step divide both the sides with 100 but do not include the decimal point again but leave it in the form ${\displaystyle \frac{88}{100}}$. Simplify this fraction by cancelling the common factors. Now, check if the numerator is greater than the denominator or not. If the numerator is smaller then we cannot write it in a mixed number but if the numerator is larger, convert it in the form $a{\displaystyle \frac{b}{c}}$ to get the required mixed number.

Complete step by step solution:
Here we have been provided with the decimal number 0.88 and we are asked to convert it into percent and fraction or mixed number.
First let us convert it into percent form. To convert a decimal number into percent we multiply it with 100 and include the percentage sign (%). So on performing this operation we get,
$\begin{array}{rl}& \Rightarrow 0.88=0.88\times 100\mathrm{\%}\\ & \Rightarrow 0.88=88\mathrm{\%}\end{array}$
Therefore, the percentage form of 0.88 is 88%.
Now, let us convert 0.88 into fraction. Fraction means we have to write 0.88 in the form ${\displaystyle \frac{p}{q}}$ where p and q has no common factors and q must not be 0. Let us assume 0.88 equal to x, so we have,
$\Rightarrow x=0.88$
Here we need to remove the decimal point. Clearly we can see that we have two digits after the decimal point so we need to multiply it with ${10}^2$.
$\Rightarrow 100x=88$
Dividing both the sides with 100 we get,
$\Rightarrow x={\displaystyle \frac{88}{100}}$
Cancelling the common factors and writing the fraction in its simplest form we get,
$\begin{array}{rl}& \Rightarrow x={\displaystyle \frac{4\times 22}{4\times 25}}\\ & \Rightarrow x={\displaystyle \frac{22}{25}}\end{array}$
Therefore, the fractional form of 0.88 is ${\displaystyle \frac{22}{25}}$.
Let us check if it can be converted into mixed fraction or not. As we can see that the numerator (22) is less than the denominator (25), so we cannot write it in the form of a mixed number $a{\displaystyle \frac{b}{c}}$. This is because the quotient will be less than 1.

Note: Remember that there are two types of fraction on the basis of their magnitude of the numerator and the denominator. They are proper fractions and improper fractions. If the numerator is larger than the denominator it is called improper fraction and if the numerator is smaller than the denominator then it is called proper fraction. Generally we convert an improper fraction into the mixed fraction as there we have quotient greater than 1.