Find the missing fraction. 3 1 10

Question

asked Jun 15, 2021 153k views

2 Answers

Zack Morris · Answer 1 · 2021-06-18T01:56:56+0000

Answer:

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

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