Question

What is the answer to 7/6 + 13/3=

Answer 1

11/2

or
`5(1)/(2)`

Explanation:

`7/6 + 13/3\\\\\mathrm{Least\:Common\:Multiplier\:of\:}6,\:3:\quad 6\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\=(7)/(6)+(26)/(6)\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad (a)/(c)+(b)/(c)=(a+b)/(c)\\\\(7)/(6)+(26)/(6)=(7+26)/(6)\\\\=(33)/(6)\\\\\mathrm{Factor\:the\:number:\:}\:33=3*\:11\\\\=(3*\:11)/(6)\\\\\mathrm{Factor\:the\:number:\:}\:6=3*\:2\\=(3*\:11)/(3*\:2)\\`

`\\\mathrm{Cancel\:the\:common\:factor:}3\\=(11)/(2)\\\\= 5(1)/(2)`

Answer 2

33/6 or 11/2 or 5.5

Explanation:

One way to solve this is by using a calculator and spitting out a answer, but just in case you're not allowed to use a calculator, here's how you would do it on paper.

`(7)/(6) +(13)/(3)`

The two denominators are different, so we have to make them the same by multiply either side (sometimes both) to make the denominator the same.

`(7)/(6) +(13)/(3)*2\\\\(7)/(6) + (26)/(6)`

Now the denominators are the same. Since the denominators are the same, we can ignore the denominator for now and focus on the numerators.

26 + 7 = 33

The numerator is 33 when adding the two fractions together. Now, to make your fraction complete attach the denominator we ignored.

Your final answer is :
`(33)/(6)` or a simplified version
`(11)/(2)` or 5.5.