6 1/4- 3 1/3 - 1 2/5 =

Thanks Sir-Emo-Chappington

You made a little error - it is 7/5 not 6/5 - that is why our answers are different   

PLUS you do not need to do all that. When adding ans subtracting you can deal with the whole numbers and the fractions seperately.

Like this

$$\\6 \frac{1}{4}- 3\frac{1}{3} - 1 \frac{2}{5} \\\\ =6 +\frac{1}{4}- 3-\frac{1}{3} - 1- \frac{2}{5} \\\\ =6-3-1 +\frac{1}{4}-\frac{1}{3} - \frac{2}{5} \\\\ =2 +\frac{1*15}{4*3*5}-\frac{1*20}{4*3*5} - \frac{2*12}{4*3*5} \\\\ =2 +\frac{15}{60}-\frac{20}{60} - \frac{24}{60} \\\\ =2 +\frac{15-20-24}{60} \\\\ =2 +\frac{-29}{60} \\\\ =2 -\frac{29}{60} \\\\ =1+\frac{60}{60} -\frac{29}{60} \\\\ =1+\frac{31}{60} \\\\ =1\frac{31}{60} \\\\$$

My answer is much longer than needed because I have tried to exaggerate the working.  

check

$$\left({\mathtt{6}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right){\mathtt{\,-\,}}\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right){\mathtt{\,-\,}}\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{2}}}{{\mathtt{5}}}}\right) = {\frac{{\mathtt{91}}}{{\mathtt{60}}}} = {\mathtt{1.516\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

6 1/4 - 3 1/3 - 1 2/5

Firstly, put the whole numbers back into the fraction by multiplying them by the denominator and adding that in.

(1 + (4*6))/4 - (1 + (3*3))/3 - (1 + (1*5))/5

= 25/4 - 10/3 - 6/5

Next, make all denominators the same, and multiply the numerator appropriately.

The lowest common multiple of 4, 3 and 5 is 2*2*3*5 = 60

(25*15)/60 - (10*20)/60 - (6*12)/60

= 325/60 - 200/60 - 72/60

Now make them all into a single fraction.

(325 - 200 - 72)/60

= 53/60

Since 53 is a prime number, this is the simplest form.

6 1/4 - 3 1/3 - 1 2/5 = 53/60 = 0.883 [3 recurring]

Very nice......Sir-Emo-Chappington.......!!!!!!