Question

Find the missing fraction.
3
1
10

Answer 1

`{ \boxed{ \bold{ \huge{ { \boxed{ \sf{ (1)/(2) }}}}}}}`

Explanation:

Let the missing fraction be x

`\star \: \: \: \sf{x - (3)/(10) = (1)/(5)}`

Solve for x.

L.C.M of 1 and 10 = 10

`\longmapsto{ \sf{ (x * 10 - 3)/(10) = (1)/(5) }}`

`\dashrightarrow{ \sf{ (10x - 3)/(10) = (1)/(5) }}`

Do cross multiplication

`\longmapsto {\sf{5(10x - 3) = 10 * 1}}`

Distribute 5 through the parentheses

`\longmapsto{ \sf{50x - 15 = 10}}`

Move 15 to right hand side and change it's sign

`\longmapsto{ \sf{50x = 10 + 15}}`

Add the numbers: 10 and 15

`\longmapsto{ \sf{50x = 25}}`

Divide both sides by 50

`\longmapsto{ \sf{ (50x)/(50) = (25)/(50)}}`

`\longmapsto{ \purple{ \boxed{ \sf{ x = (1)/(2) }}}}`

The missing fraction is
`\sf{ (1)/(2) }`

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer 2

1/2

Explanation: