Question

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

Answer 1

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

Answer 2

No

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:

`(18)/(24) \;[\;\;] (10)/(15)`
`\mathrm{To\;turn\;fraction\;into\;decimal\;just}`

`18*15=270`
`\mathrm{Divide\;numerator \;by \;denominator\;}`

`24*10=240`
`\mathrm{18/24=0.75}`

`(18)/(24) \;[ > ] (10)/(15)`
`\mathrm{10/15=0.66666666666}`

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

`\mathrm{conclude\;that\;(18)/(24) \;is\;greater\;than\;(10)/(15)}`
`(18)/(24) \;[ > ] (10)/(15)`

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

~Kavinsky