No.110 Expressions with Fractions
POINT
Distribute first, then use common denominators to combine like terms with fractional coefficients.
Simplify the following expressions.
Example
\(\frac14(x-3y)-\frac13(2x-3y)\)
\(\frac{4x+3y}{2}-\frac{x-2y}{3}\)
① \(-\frac5{12}x+\frac14y\)
② \(\frac53x+\frac{13}{6}y\)
② \(\frac53x+\frac{13}{6}y\)
Try it yourself.
Simplify the following expressions.
PRACTICE 01
\(\frac12(a+2b)-\frac14(2a-b)\)
\(\frac54b\)
PRACTICE 02
\(\frac{3x-y}{2}+\frac{x+2y}{3}\)
\(\frac{11}{6}x+\frac16y\)
PRACTICE 03
\(\frac13(a+2b)-\frac16(a-b)\)
\(\frac16a+\frac56b\)
PRACTICE 04
\(\frac{2x-y}{3}-\frac{x+2y}{4}\)
\(\frac5{12}x-\frac56y\)
PRACTICE 05
\(\frac25(m-3n)+\frac1{10}(2m+n)\)
\(\frac35m-\frac{11}{10}n\)
PRACTICE 06
\(\frac{3a+b}{4}-\frac{a-2b}{6}\)
\(\frac7{12}a+\frac7{12}b\)