Question

Here are some fractions.

10/15
4/6
12/18
10/16
16/24
One of these fractions is NOT equivalent to
2/3

a) Which fraction?

b) Work out 1/8 + 3/4

Give your answer in its simplest form.

Answer 1

10/16 is not equivalent to ⅔.

⅛+¾=⅞

Explanation:

To simplify to simplest form find the GCF for both and divide on each side.

`(10)/(15) = (2)/(3)`

the GCF is 5, so you divide the numerator and denominator by 5 to get 2/3.

`(4)/(6) = (2)/(3)`

When you divide the numerator and denominator by 2 (GCF) it would be ⅔.

`(12)/(18) = (2)/(3)`

when you divide both the numerator and denominator by 6 (GCF) you get ⅔.

`(10)/(16) = (5)/(8)`

when you divide the numerator and denominator by 2 (gcf) you get ⅝.

therefore, 10/16 is not equivalent.

`(1)/(8) + (3)/(4) =`

Find the LCM

Least Common Multiple is 16.

8: 8, 16

4: 4, 8, 12, 16

`(2)/(16) + (12)/(16)`

for ⅛ you multiply the numerator and denominator by 2 to get 2/16. do the same with 3/4 but with 4 to get 12/16

`(2)/(16) + (12)/(16) = (14)/(16)`

you can simplify by dividinv both sides by 2 to get 7/8.

Answer 2

a. 10/15
b. 7/8
those r the answers