Question

5 6/30+1 3/4=
Need step by step answers

Answer 1

Step by step answers are key,... and they're below,... ;->

Explanation:

This is your equation:

`5 (6)/(30) + 1(3)/(4)`

Make both fractions improper fractions (this makes them easier to work with) All you did to convert your two mixed number into improper fractions is:

Multiply the denominator (the bottom number in a fraction in this case 30) by the number not in the fraction (5), 30x5=150 and then add the product (150) to the numerator (the top number in a fraction (which in this case is 6))

`5(6)/(30) = (156)/(30)`

Do the same to the other mixed number (turning it into a improper fraction), Multiply the 4x1=4, add the product to the numerator 4+3=7 and then you have your second improper fraction

`1(3)/(4) = (7)/(4)`

Your new equation:

`(156)/(30) +(7)/(4)`

Now you need to get both denominators the same so you can add the together,... the easiest way to do this is to multiply the two denominators together,... 30x4=120

`(x)/(120) + (x)/(120)`

But how do we know what the numerator are to be? What you have to do is the following,... you had to multiply 30 by 4 to get to 120, so you have to multiply the 156 by 4 to make an equivilant fraction,... 156x4=624

`5(6)/(30) = (156)/(30) = (624)/(120)`

Like wise you had to multiply 4 by 30 to get to 120 so you have to multiply the numerator by 30 to make the fraction hold the same value,... 7x30=210

`1(3)/(4) = (7)/(4) =(210)/(120)`

Now all that is left is to add:

`(624)/(120) +(210)/(120) =(834)/(120)`

The answer is 835/120 simplify is or 6 19/20 or 6.95

Hope that was explination enough,... and have a SUPER-EXTRA-ORDINARILY-AMAZINGLY-AWESOME day,...

Chow,...!