Q:

what is 140 5/8 ÷ 11 1/4[tex]140 \frac{5}{8} \div 11 \frac{1}{4 } \\[/tex]

Accepted Solution

A:
The first step to solving this is to convert the first mixed number into an improper fraction
[tex] \frac{1125}{8} [/tex] ÷ 11[tex] \frac{1}{4} [/tex]
Now convert the second mixed number into an improper fraction
[tex] \frac{1125}{8} [/tex] ÷ [tex] \frac{45}{4} [/tex]
To divide by a fraction,, you must multiply by the reciprocal of the fraction. This will make the expression look like the following:
[tex] \frac{1125}{8} [/tex] × [tex] \frac{4}{45} [/tex]
Reduce the numbers with 45
[tex] \frac{25}{8} [/tex] × 4
Finally,, reduce the numbers with 4 to get your final answer
[tex] \frac{25}{2} [/tex]
This means that the correct answer to your expression is [tex] \frac{25}{2} [/tex] or 12[tex] \frac{1}{2} [/tex] simplified.
Let me know if you have any further questions
:)