Question #33e3f

2 Answers
Jun 14, 2017

See a solution process below:

Explanation:

$98.25$ is 98 and 25 hundredths, or:

$98 + \frac{25}{100}$

We can factor the fraction as:

$98 + \frac{25 \times 1}{25 \times 4} \implies 98 + \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{25}}} \times 1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{25}}} \times 4} \implies 98 + \frac{1}{4} \implies$

$98 \frac{1}{4}$

Jun 14, 2017

$98.25 = 98 \frac{1}{4}$

Explanation:

A mixed number is comprised of a whole number and a fraction, like so:

$\text{Mixed number"="A whole number"+"A fraction}$.

Example: $1 \frac{1}{2} = 1 + \frac{1}{2}$

We know that we can turn decimals into fractions. Using the above definition of mixed numbers, we notice that we can turn a decimal into a mixed number by splitting the decimal up into its whole number and decimal parts. Then we keep the whole number as is while we turn the decimal into a fraction. We can combine the two to obtain the mixed number that is the value of the decimal. Applying these steps onto our problem, we get:

$98.25 = 98 + 0.25 = 98 + \frac{1}{4} = 98 \frac{1}{4}$

Hope this helped!