Answer:
19
19 and +9
Step-by-step explanation:
STEP
1
:
19
Simplify ——
12
Equation at the end of step
1
:
3 19
and - — ÷ (0 - ——)
4 12
STEP
2
:
3
Simplify —
4
Equation at the end of step
2
:
3 -19
and - — ÷ ———
4 12
STEP
3
:
3 -19
Divide — by ———
4 12
3.1 Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
3 -19 3 12
— ÷ ——— = — • ———
4 12 4 -19
Equation at the end of step
3
:
9
and - ———
-19
STEP
4
:
Rewriting the whole as an Equivalent Fraction
4.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using -19 as the denominator :
and and • -19
and = ——— = —————————
1 -19
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 :
4.2 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:
and • 19 - (9 • -1) 19and + 9
——————————————————— = —————————
19 19
Final result :
19and + 9
—————————
19
