19y + 11928
———————————
8
Step by step solution :
Step 1 :
35
Simplify ——
8
Equation at the end of step 1 :
35
((—— • y) + 1491) - 2y
8
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 8 as the denominator :
1491 1491 • 8
1491 = ———— = ————————
1 8
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:
35y + 1491 • 8 35y + 11928
—————————————— = ———————————
8 8
Equation at the end of step 2 :
(35y + 11928)
————————————— - 2y
8
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 8 as the denominator :
2y 2y • 8
2y = —— = ——————
1 8
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
35y + 11928 = 7 • (5y + 1704)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
7 • (5y+1704) - (2y • 8) 19y + 11928
———————————————————————— = ———————————
8 8
Final result :
19y + 11928
———————————
8
