Question

2/5n+ 3/6+ 1/8n
what does it equal

Answer 1

Answer:

$\frac{21}{40}n$ + $\frac{1}{2}$

Step-by-step explanation:

The important part to understand about this problem is that you need to find a common denominator. You can ONLY add two fractions if they have the same denominator. A way to change the denominator of a fraction is to multiply the numerator and denominator of the fraction by the same number.

So, You want to make the 2/5n and 1/8n to have the same denominator so you can add them. An easy rule of thumb is multiply the one of the fraction by the other fraction's denominator, so in this problem:

$\frac{2 * 8}{5*8} n$ and $\frac{1*5}{8*5}n$

this comes out as

16/40n and 5/40n

NOW, they have the same denominator and you can add the numerators together to make it one happy fraction

$\frac{16}{40} + \frac{5}{40} = \frac{16+5}{40} = \frac{21}{40}$

Then, for the 3/6, you can simplify this fraction into:

1/2

This is because if you divide the top and bottom of the fraction by 3 like so:

$\frac{3/3}{6/3}$ (Always make sure you do the same for the top as you do to the bottom)

This comes out as

$\frac{1}{2}$

Then for the full equation:

$\frac{21}{40} n + \frac{1}{2}$