Solution - Reducing fractions to their lowest terms
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "1.5" was replaced by "(15/10)".
Step 1 :
3
Simplify —
2
Equation at the end of step 1 :
3
(— + 148) + 6
2
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator :
148 148 • 2
148 = ——— = ———————
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:
3 + 148 • 2 299
——————————— = ———
2 2
Equation at the end of step 2 :
299
——— + 6
2
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator :
6 6 • 2
6 = — = —————
1 2
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
299 + 6 • 2 311
——————————— = ———
2 2
Final result :
311
——— = 155.50000
2
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