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how do you solve 4a/b divided by 2ac/b

Sagot :

[tex]\frac{\frac{4a}{b}}{\frac{2ac}{b}}=?\\\\ To\ divide\ fraction\ multiply\ first\ fraction\ by\ inverse\ of\ the\ second:\\\\ \frac{\frac{4a}{b}}{\frac{2ac}{b}}=\frac{4a}{b}*\frac{b}{2ac}=?\\\\ Shortening\ fractions:\\\\ \frac{\frac{4a}{b}}{\frac{2ac}{b}}=\frac{4a}{b}*\frac{b}{2ac}=\frac{2}{c}\\\\Solution\ is\ \frac{2}{c}.[/tex]
[tex]\frac{4a}{b} :\frac{ 2ac}{b}= \frac{4a}{b} \cdot \frac{b}{ 2ac}= \frac{2}{c} \\ \\a \ and \ c \neq 0[/tex]