Question

How do you work the following problem:517 37/50 + 312 3/100? and I also need to turn in to a decimal

Answer 1

Calculate the following sum of mixed fractions:

`517(37)/(50)+312(3)/(100)`

Before adding the fractions, we should express them as improper fractions:

`517+(37)/(50)+312+(3)/(100)`

We can add the integers 517+312=829

And now the fractions:

`(37)/(50)+(3)/(100)`

Expand the first fraction to have a denominator 100:

`(2\cdot37)/(2\cdot50)+(3)/(100)=(74)/(100)+(3)/(100)=(77)/(100)`

Now we simply join the integer part with the proper fraction:

`829(77)/(100)`

It's the final answer

Let's elaborate on the sum:

`(37)/(50)+(3)/(100)`

We need to make both denominators equal and then add the numerators easily

For example:

`(3)/(8)+(4)/(8)=(7)/(8)`

Note the fraction 37/50 does not have the same denominator as 3/100

How can we make them equal?

Multiply by 2

both the 37 and 50

To express the result as decimal, we divide the fraction and add it to the integer:

`829(77)/(100)=829+(77)/(100)=829+0.77=829.77`