What is 5/6÷6/7?
To divide a fraction by another fraction, we can multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 6/7 = 7/6
Therefore, 5/6 ÷ 6/7 is equivalent to 5/6 * 7/6.
When we multiply these fractions, we get:
(5 * 7) / (6 * 6) = 35/36
So, 5/6 ÷ 6/7 is equal to 35/36.
To solve the expression 5/6 ÷ 6/7, you need to follow the order of operations, which states that you should first execute any operations inside parentheses, then perform any exponentiation, multiplication, or division from left to right, and finally perform any addition or subtraction from left to right.
In this expression, we need to perform division. To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and denominator.
So, to calculate 5/6 ÷ 6/7, we multiply 5/6 by the reciprocal of 6/7:
5/6 * 7/6 = (5 * 7) / (6 * 6) = 35/36
Therefore, the result of 5/6 ÷ 6/7 is 35/36.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 6/7 is 7/6.
So, 5/6 ÷ 6/7 can be rewritten as 5/6 x 7/6.
Now, multiply the numerators together (5 x 7) to get the numerator. Multiply the denominators together (6 x 6) to get the denominator.
So, 5/6 x 7/6 = 35/36.
Therefore, 5/6 ÷ 6/7 = 35/36.