Solve and simplify

-3/4 divided by (-1 9/12)

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    

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step-by-step explanation:

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