No.114 Mixed Multiplication and Division
POINT
When multiplication and division are mixed, rewrite everything as multiplication of fractions, then cancel both numbers and variables carefully.
Simplify the following expressions.
Example
\(3x^2\div(-2y)\times(-4xy)\)
\(\frac7{15}xy^2\div\frac75x^2\div\left(-\frac23xy\right)\)
① \(6x^3\)
② \(-\frac{y}{2x^2}\)
② \(-\frac{y}{2x^2}\)
Try it yourself.
Simplify the following expressions.
PRACTICE 01
\(4a^2\div(-2b)\times3ab\)
\(-6a^3\)
PRACTICE 02
\(\frac56xy\div\frac5{12}x^2\times(-3x)\)
\(-6y\)
PRACTICE 03
\(-6a^2\div3b\times(-2ab)\)
\(4a^3\)
PRACTICE 04
\(8x^2y\times\frac12xy\div(-2x)\)
\(-2x^2y^2\)
PRACTICE 05
\(\frac34mn^2\div\frac12m^2\times(-4m)\)
\(-6n^2\)
PRACTICE 06
\(-\frac25a^2b\div\frac3{10}ab^2\times3b\)
\(-4a\)