Why the summation is printed like this?

Question

The values of the upper and lower limits of a summation are usually printed below and above sigma. But I find TeX something very unusual. How to correct this?

Here is the MWE:

documentclass[12pt]{article}
usepackage{amsmath}
begin{document}
begin{align}
<mu_{m}> = frac{sum_{-J}^{J}{-gmu_{beta}M_{J}B.exp{left(frac{-gmu_{beta}M_{J}B}{kT}right)}}}{sum_{-J}^{J}{exp{left(frac{-gmu_{beta}M_{J}B}{kT}right)}}}
end{align}
end{document}

The output:

Jairo Bochi · Accepted Answer

LaTeX by default uses scriptstyle for sums inside fractions. You can change the sums to displaystyle like this:

[
langle mu_{m} rangle = 
frac{{displaystyle sum_{-J}^{J}}{-gmu_{beta}M_{J}B.exp{left(frac{-gmu_{beta}M_{J}B}{kT}right)}}}
{{displaystyle sum_{-J}^{J}}{exp{left(frac{-gmu_{beta}M_{J}B}{kT}right)}}}
]

PLEASE, use langle rangle instead of < >. Here's the output:

Why the summation is printed like this?

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