Question #33e3f

2 Answers
Jun 14, 2017

See a solution process below:

Explanation:

#98.25# is 98 and 25 hundredths, or:

#98 + 25/100#

We can factor the fraction as:

#98 + (25 xx 1)/(25 xx 4) => 98 + (color(red)(cancel(color(black)(25))) xx 1)/(color(red)(cancel(color(black)(25))) xx 4) => 98 + 1/4 =>#

#98 1/4#

Jun 14, 2017

#98.25=98 1/4#

Explanation:

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

#"Mixed number"="A whole number"+"A fraction"#.

Example: #1 1/2=1+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+1/4=98 1/4#

Hope this helped!