Solution - Reducing fractions to their lowest terms
Step by Step Solution
Step 1 :
1
Simplify —
2
Equation at the end of step 1 :
1
(— - 60) - 25
2
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
60 60 • 2
60 = —— = ——————
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 :
2.2 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:
1 - (60 • 2) -119
———————————— = ————
2 2
Equation at the end of step 2 :
-119
———— - 25
2
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
25 25 • 2
25 = —— = ——————
1 2
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
-119 - (25 • 2) -169
——————————————— = ————
2 2
Final result :
-169
———— = -84.50000
2
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