Answer:
Step by step answers are key,... and they're below,... ;->
Step-by-step explanation:
This is your equation:
[tex]5 \frac{6}{30} + 1\frac{3}{4}[/tex]
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))
[tex]5\frac{6}{30} = \frac{156}{30}[/tex]
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
[tex]1\frac{3}{4} = \frac{7}{4}[/tex]
Your new equation:
[tex]\frac{156}{30} +\frac{7}{4}[/tex]
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
[tex]\frac{x}{120} + \frac{x}{120}[/tex]
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
[tex]5\frac{6}{30} = \frac{156}{30} = \frac{624}{120}[/tex]
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
[tex]1\frac{3}{4} = \frac{7}{4} =\frac{210}{120}[/tex]
Now all that is left is to add:
[tex]\frac{624}{120} +\frac{210}{120} =\frac{834}{120}[/tex]
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,...!
