Solution - Adding, subtracting and finding the least common multiple
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "3.5" was replaced by "(35/10)". 3 more similar replacement(s)
Step 1 :
7
Simplify —
2
Equation at the end of step 1 :
175 5 7
(——— - ——) - —
10 10 2
Step 2 :
1
Simplify —
2
Equation at the end of step 2 :
175 1 7
(——— - —) - —
10 2 2
Step 3 :
35
Simplify ——
2
Equation at the end of step 3 :
35 1 7
(—— - —) - —
2 2 2
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:
35 - (1) 17
———————— = ——
2 1
Equation at the end of step 4 :
17 7
—— - —
1 2
Step 5 :
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
17 17 • 2
17 = —— = ——————
1 2
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 :
5.2 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:
17 • 2 - (7) 27
———————————— = ——
2 2
Final result :
27
—— = 13.50000
2
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