Use multiplying by 1 to find an expression equivalent to 16/7 with a denominator of 42z.
You must have copied that problem wrong. It makes no sense at all. Is the z a typo error?
16/7 = 96/42, or 96z/42z, but multiplyiong by one doesn't get you there
To find an expression equivalent to 16/7 with a denominator of 42z, we can multiply both the numerator and denominator by 6z.
Multiplying a fraction by 1 means multiplying the fraction by a form of 1 that does not change its value. In this case, we want to multiply by a form of 1 that has the denominator 42z.
To do this, we can write 1 as a fraction with a numerator and denominator of 42z. This gives us:
1 = (42z) / (42z)
Now, we can multiply our original fraction of 16/7 by the form of 1 we just obtained:
(16/7) * (42z/42z)
To simplify this expression, we multiply the numerators together and the denominators together:
(16 * 42z) / (7 * 42z)
This gives us:
672z / 294z
Now, we can simplify the expression further by cancelling out the common factors between the numerator and denominator. In this case, the common factor is z:
672z / 294z = 672 / 294
So, an expression equivalent to 16/7 with a denominator of 42z is 672 / 294.