Solution - Reducing fractions to their lowest terms
Other Ways to Solve
Reducing fractions to their lowest termsStep by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "b1" was replaced by "b^1".
Step 1 :
b12
Simplify ———
8
Equation at the end of step 1 :
3 b12
b - (((— • b) • ———) • b)
2 8
Step 2 :
3
Simplify —
2
Equation at the end of step 2 :
3 b12 b - (((— • b) • ———) • b) 2 8Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 16 as the denominator :
b b • 16
b = — = ——————
1 16
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:
b • 16 - (3b14) 16b - 3b14
——————————————— = ——————————
16 16
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
16b - 3b14 = -b • (3b13 - 16)
Final result :
+b • (3b13 + 16) ———————————————— 16
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