Question

Subtract 19/5 - 21/10​

Answer 1

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TO DETERMINE

$\displaystyle \sf{ \frac{19}{5} - \frac{21}{10} \: \: }$

PROCESS

STEP : 1 Take the denominator of the given two unlike fractions

STEP : 2 Take the LCM of the denominators

STEP : 3 Convert the fractions into like fractions

STEP : 4 Subtract them

CALCULATION

$\displaystyle \sf{ Two \: fractions \: are \: \: \frac{19}{5} \: \: and \: \: \frac{21}{10} \: \: }$

Denominators are 5 & 10

LCM of the denominators is 10

Hence

$\displaystyle \sf{ \frac{19}{5} - \frac{21}{10} \: \: }$

$= \displaystyle \sf{ \frac{38}{10} - \frac{21}{10} \: \: }$

$= \displaystyle \sf{ \frac{38 - 21}{5} \: \: }$

$\displaystyle \sf{ = \frac{17}{10} \: \: }$

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