# (31)/(52)-(17)/(44) - subtraction of fractions

## (31)/(52)-(17)/(44) - step by step solution for the given fractions. Subtraction of fractions, full explanation.

If it's not what You are looking for just enter simple or very complicated fractions into the fields and get free step by step solution. Remember to put brackets in correct places to get proper solution.

### Solution for the given fractions

$\frac{31}{52 }-\frac{ 17}{44 }=?$

The common denominator of the two fractions is: 572

$\frac{31}{52 }= \frac{(11*31)}{(11*52)} =\frac{ 341}{572}$

$\frac{17}{44 }= \frac{(13*17)}{(13*44)} =\frac{ 221}{572}$

Fractions adjusted to a common denominator

$\frac{31}{52 }-\frac{ 17}{44 }=\frac{ 341}{572 }-\frac{ 221}{572}$

$\frac{341}{572 }-\frac{ 221}{572 }= \frac{(341-221)}{572}$

$\frac{(341-221)}{572 }=\frac{ 120}{572}$

$\frac{120}{572 }=\frac{ 30}{143}$



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