Here is the problem:
.................................................. ................Fraction
23. Write an equivalent expression by symplifying 12xyz/8y
Please find the answer, Becuase I don't understand
Thank You So Much
since 12/8 = 3/2 and y/y = 1, we have: $\displaystyle \frac {12xyz}{8y} = \frac {\not 1 \not 2^3x \not yz}{\not 8_2 \not y} = \frac {3xz}{2}$
the principle behind this is "canceling common factors, which really falls back on the rule: $\displaystyle \frac {x^a}{x^b} = x^{a - b}$
so $\displaystyle \frac {12xyz}{8y} = \frac {12}8 \cdot x \cdot yy \cdot z = \frac 32 \cdot x \cdot 1 \cdot z = \frac {3xz}{2}$ since $\displaystyle \frac yy = \frac {y^1}{y^1} = y^{1 - 1} = y^0 = 1$