What is 35yz/49xyz simplified?
To simplify the expression 35yz/49xyz, you can cancel out common factors from the numerator and the denominator.
In this case, the common factors are 7, y, and z.
Dividing the numerator and denominator by these common factors, we get:
(35yz)/(49xyz) = (5y)/(7x)
To simplify the expression 35yz/49xyz, we can divide both the numerator and the denominator by the greatest common factor (GCF) of all the terms involved.
First, let's find the GCF of 35yz and 49xyz. The variables y and z are common to both terms, and their exponents are 1 in both cases. The numerical coefficients, 35 and 49, have a common factor of 7. Therefore, the GCF is 7yz.
Next, we divide both the numerator and the denominator by the GCF:
(35yz)/(49xyz) = (35yz)/(7yz * 7x) = (5x)/(7x)
So, the simplified expression is 5x/7x. Note that we canceled out the common factors of y and z. However, be careful as long as the variable x is in the denominator, it shouldn't be canceled out because there is no x in 5x.