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:

$517\frac{37}{50}+312\frac{3}{100}$

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

$517+\frac{37}{50}+312+\frac{3}{100}$

We can add the integers 517+312=829

And now the fractions:

$\frac{37}{50}+\frac{3}{100}$

Expand the first fraction to have a denominator 100:

$\frac{2\cdot37}{2\cdot50}+\frac{3}{100}=\frac{74}{100}+\frac{3}{100}=\frac{77}{100}$

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

$829\frac{77}{100}$

It's the final answer

Let's elaborate on the sum:

$\frac{37}{50}+\frac{3}{100}$

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

For example:

$\frac{3}{8}+\frac{4}{8}=\frac{7}{8}$

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:

$829\frac{77}{100}=829+\frac{77}{100}=829+0.77=829.77$