39h - 27d - 130
———————————————
10
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "3.1" was replaced by "(31/10)". 2 more similar replacement(s)
Step by step solution :
Step 1 :
31
Simplify ——
10
Equation at the end of step 1 :
67 31
(((7h+(0-(——•d)))-13)+4d)-(——•h)
10 10
Step 2 :
67
Simplify ——
10
Equation at the end of step 2 :
67 31h
(((7h+(0-(——•d)))-13)+4d)-———
10 10
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 10 as the denominator :
7h 7h • 10
7h = —— = ———————
1 10
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 :
3.2 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:
7h • 10 + -67d 70h - 67d
—————————————— = —————————
10 10
Equation at the end of step 3 :
(70h - 67d) 31h
((——————————— - 13) + 4d) - ———
10 10
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 10 as the denominator :
13 13 • 10
13 = —— = ———————
1 10
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
(70h-67d) - (13 • 10) 70h - 67d - 130
————————————————————— = ———————————————
10 10
Equation at the end of step 4 :
(70h - 67d - 130) 31h
(————————————————— + 4d) - ———
10 10
Step 5 :
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 10 as the denominator :
4d 4d • 10
4d = —— = ———————
1 10
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
(70h-67d-130) + 4d • 10 70h - 27d - 130
——————————————————————— = ———————————————
10 10
Equation at the end of step 5 :
(70h - 27d - 130) 31h
————————————————— - ———
10 10
Step 6 :
Adding fractions which have a common denominator :
6.1 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:
(70h-27d-130) - (31h) 39h - 27d - 130
————————————————————— = ———————————————
10 10
Final result :
39h - 27d - 130
———————————————
10
Processing ends successfully