Reforming the input: Changes made to your input should not affect the solution:
(1): "0.2" was replaced by "(2/10)".
STEP 1 :
1 Simplify — 5 Equation at the end of step 1 :
2 1 1 ((((—•y)+(—•x))-(—•y))-6)+-2 5 5 5 STEP 2 :
1 Simplify — 5 Equation at the end of step 2 :
2 1 y ((((—•y)+(—•x))-—)-6)+-2 5 5 5 STEP 3 :
2 Simplify — 5 Equation at the end of step 3 :
2 x y ((((— • y) + —) - —) - 6) + -2 5 5 5 STEP 4 :
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2y + x 2y + x —————— = —————— 5 5 Equation at the end of step 4 :
(2y + x) y ((———————— - —) - 6) + -2 5 5 STEP 5 :
Adding fractions which have a common denominator :
5.1 Adding fractions which have a common denominator Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(2y+x) - (y) y + x ———————————— = ————— 5 5 Equation at the end of step 5 :
(y + x) (——————— - 6) + -2 5 STEP 6 :
Rewriting the whole as an Equivalent Fraction :
6.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
6 6 • 5 6 = — = ————— 1 5 Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
6.2 Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(y+x) - (6 • 5) y + x - 30 ——————————————— = —————————— 5 5 Equation at the end of step 6 :
(y + x - 30) ———————————— + -2 5 STEP 7 :
Rewriting the whole as an Equivalent Fraction :
7.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 5 as the denominator :
-2 -2 • 5 -2 = —— = —————— 1 5 Adding fractions that have a common denominator :
7.2 Adding up the two equivalent fractions
(y+x-30) + -2 • 5 y + x - 40 ————————————————— = —————————— 5 5 Final result : y + x - 40 —————————— 5
