How can the value of  1/2 - 3/10 + 2/5 be found?

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justaguide eNotes educator | Certified Educator

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We have to find the value of the expression you have given:

1/2 - 3/10 + 2/5

make the denominator of all the terms the same, this would involve multiplying the numerator by the same number for all the terms.

=> 1*5/ 2*5 - 3/ 10 + 2*2/2*5

=> 5/10 - 3/10 + 4/10

=> (5 - 3 + 4) / 10

=> 6/10

=> 3/5

The required value is 1/2 - 3/10 + 2/5 i = 3/5

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zumba96 | Student

Find the LCM first 

Since 1/2-3/10+2/5 has a common denominator of 10, multiply the others to get a denominator of 10. Therefore 1/2 x 5 = 5/10 + 2/5 x 2 = 4/10 - 3/10

5/10+4/10-3/10= 6/10 and it can be further simplified to 3/5

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atyourservice | Student

`1/2 - 3/10 + 2/5 `

they all have a common multiple of 10 (denominator) so try making them all 10

`1/2xx5 = 5/10 `

`2/5xx2= 4/10 `

`5/10 - 3/10 + 4/10 `

`5/10 - 3/10= 2/10 + 4/10 = 6/10 `

this can be simplified as both 6 and 10 have a common factor of 2 so divide by 2

`6/10 -: 2 = 3/5 `

the answer is `3/5`

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