Solve this problem. Reduce to lowest terms.
6 obelus divided by 5 over 6 equals
To solve the problem, we need to simplify the expression "6 obelus divided by 5 over 6" and reduce it to its lowest terms.
First, let's write the expression without using the obelus symbol (÷):
6 ÷ (5/6)
To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 5/6 is 6/5.
So, the expression becomes:
6 * (6/5)
Multiplying 6 by 6, we get:
36/5
To reduce a fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. In this case, the GCD is 1 since 36 and 5 do not share any common factors besides 1.
Therefore, the expression "6 obelus divided by 5 over 6" reduced to lowest terms is:
36/5
To solve the problem, first, we need to rewrite the division as a multiplication by taking the reciprocal of the second fraction.
So, 6 ÷ (5/6) becomes 6 * (6/5).
Next, we can simplify by canceling out common factors. The factor of 6 in the numerator and denominator can be canceled, reducing the fraction further.
Therefore, the equation becomes (6 * 6) / 5, which simplifies to 36/5.
As a final step, to reduce the fraction to its lowest terms, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 36 and 5 is 1.
So, the final answer is 36/5, which cannot be reduced further.
To solve the problem and reduce the expression to its lowest terms, we need to evaluate the division and simplify the resulting fraction.
The expression is: 6 ÷ (5/6)
Step 1: Multiply the numerator (6) by the reciprocal of the denominator (5/6). The reciprocal of a fraction is obtained by switching the numerator and denominator.
6 ÷ (5/6) = 6 × (6/5)
Step 2: Multiply both numerators and denominators:
6 × 6 = 36
5 × 1 = 5
So, the new expression is: 36/5
Step 3: To reduce the fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
The GCD of 36 and 5 is 1 (since they have no common factors other than 1 itself).
So, dividing both the numerator and denominator by 1 gives us:
36 ÷ 1 = 36
5 ÷ 1 = 5
Therefore, the expression 6 ÷ (5/6) reduces to 36/5 in its lowest terms.