Question

Do 18/24 and 10/15 have the same value? Explain your answer in complete sentences.

Answer 1

Answer:

No

Step-by-step explanation:

We can either cross multiply or turn into decimal form to see if they have the same value.

I will be showing both.

Cross Multiply:                                                   Decimal Form:

$\frac{18}{24} \;[\;\;] \frac{10}{15}$                                                $\mathrm{To\;turn\;fraction\;into\;decimal\;just}$                                

$18\times15=270$                                               $\mathrm{Divide\;numerator \;by \;denominator\;}$

$24\times10=240$                                                $\mathrm{18\div24=0.75}$

$\frac{18}{24} \;[ > ] \frac{10}{15}$                                                           $\mathrm{10\div15=0.66666666666}$

$\mathrm{As\;a\;result\;we\;can}$                                             $0.75 > 0.66666666666$

$\mathrm{conclude\;that\;\frac{18}{24} \;is\;greater\;than\;\frac{10}{15}}$                     $\frac{18}{24} \;[ > ] \frac{10}{15}$

We can conclude that 18/24 and 10/15 are not the same.

~Kavinsky

Answer 2

No, because when you simplify they do not add up to a common denominator