Question

What is 36/100 added with 4/10

Answer 1

19/25

Explanation:

`(36)/(100)+(4)/(10)\\Let\: first\: deal\: with\: ;(36)/(100)\\\mathrm{Cancel\:the\:common\:factor:}\:4\\=(9)/(25)\\\\=(9)/(25)+(4)/(10)\\Now \:lets \:deal \:with ; (4)/(10)\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=(2)/(5)\\=(9)/(25)+(2)/(5)\\\mathrm{Prime\:factorization\:of\:}25:\quad 5*\:5\\\mathrm{Prime\:factorization\:of\:}5:\quad 5\\\mathrm{Multiply\:each\:factor\:the\:greatest\:number\:of\:times\:it\:occurs\:in\:either\:}25\mathrm{\:or\:}5\\`

`\lim_(n \to \infty) a_n =5\cdot \:5\\\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25\\=25\\\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:25\\\mathrm{For}\:(2)/(5):\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}5\\(2)/(5)=(2* \:5)/(5* \:5)=(10)/(25)\\=(9)/(25)+(10)/(25)\\`

`\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad (a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)\\=(9+10)/(25)\\\\=(19)/(25)`

Answer 2

0.76 or 19/25

Explanation:

Convert 4/10 so that it has a common denominator with 36/100.

4/10 x 10/10 = 40/100

Now that the denominator is the same, just add the top values.

40/100 + 36/100 = 76/100

We can also simplify the answer to be 19/25 by dividing the top and bottom by 4.