15 • (4x + 11)
———————
11
Step-by-step explanation:
Step 1 :
5
Simplify ——
11
Equation at the end of step 1 :
5
(5x + (—— • x)) + 15
11
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 11 as the denominator :
5x 5x • 11
5x = —— = ———————
1 11
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:
5x • 11 + 5x 60x
———————————— = ———
11 11
Equation at the end of step 2 :
60x
——— + 15
11
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 11 as the denominator :
15 15 • 11
15 = —— = ———————
1 11
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
60x + 15 • 11 60x + 165
————————————— = —————————
11 11
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
60x + 165 = 15 • (4x + 11)
Final result :
15 • (4x + 11)
——————————————
11
Processing ends successfully
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