QuestionDivide: in simplest form.
Studdy Solution
STEP 1
Assumptions1. We are dividing two fractions and . . We need to simplify the result to its simplest form.
STEP 2
The division of fractions can be transformed into multiplication by taking the reciprocal of the divisor. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
STEP 3
Apply the above formula to our problem.
STEP 4
Next, we perform the multiplication of the fractions. This is done by multiplying the numerators together to form the new numerator and the denominators together to form the new denominator.
STEP 5
Apply the above formula to our problem.
STEP 6
Perform the multiplication in the numerator and the denominator.
STEP 7
The last step is to simplify the resulting fraction to its simplest form. This is done by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by it.
STEP 8
The GCD of56 and30 is2.
STEP 9
Divide both the numerator and the denominator by the GCD.
STEP 10
Perform the division in the numerator and the denominator.
So, in simplest form.
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