8c-7d/3c-5c-11d/3c - Tiger Algebra

Step 1 :

Equation at the end of step 1 :

Step 2 :

Equation at the end of step 2 :

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a fraction from a whole Rewrite the whole as a fraction using 3 as the denominator :

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 denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

Equation at the end of step 3 :

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction Rewrite the whole as a fraction using 3 as the denominator :

Step 5 :

Pulling out like terms :

5.1 Pull out like factors : 24c - 7cd = -c • (7d - 24)

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

Equation at the end of step 5 :

Step 6 :

Step 7 :

Pulling out like terms :

7.1 Pull out like factors : 9c - 7cd = -c • (7d - 9)

Adding fractions which have a common denominator :

7.2 Adding fractions which have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

Step 8 :

Pulling out like terms :

8.1 Pull out like factors : 9c - 18cd = +9c • (2d + 1)

Final result :