Question

a) 5/6 - 7/12 =

b) 2 : 4/5 =

c) 5/7 + 3/7 x 1/2 =

d) ( 1/3 - 1/5 ) : 2/3 =

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Answer 1

a: =10/12-7/12=3/12=1/4

b: =2x5/4=10/4=5/2

c: =5/7+3/14=13/14

d: =2/15x3/2=1/5

Answer 2

a) \(\dfrac{5}{6}-\dfrac{7}{12}\)

\(=\dfrac{10}{12}-\dfrac{7}{12}\)

\(=\dfrac{1}{4}\)

b) \(2:\dfrac{4}{5}\)

\(=2\cdot\dfrac{5}{4}\)

\(=\dfrac{5}{2}\)

c) \(\dfrac{5}{7}+\dfrac{3}{7}\cdot\dfrac{1}{2}\)

\(=\dfrac{5}{7}+\dfrac{6}{14}\cdot\dfrac{7}{14}\)

\(=\dfrac{5}{7}+\dfrac{3}{14}\)

\(=\dfrac{10}{14}+\dfrac{3}{14}\)

\(=\dfrac{13}{14}\)

d) \(\left(\dfrac{1}{3}-\dfrac{1}{5}\right):\dfrac{2}{3}\)

\(=\left(\dfrac{5}{15}-\dfrac{3}{15}\right):\dfrac{2}{3}\)

\(=\dfrac{2}{15}\cdot\dfrac{3}{2}\)

\(=\dfrac{1}{5}\)

Answer 3

`a)5/6 - 7/12= 10/12-7/12=3/12=1/4`

`b) 2 : 4/5= 2 xx 5/4= 10/4=5/2`

`c) 5/7 + 3/7 xx 1/2 = 5/7 + 3/14= 10/14 + 3/14=13/14`

`d) ( 1/3 - 1/5 ) : 2/3 =( 5/15 - 3/15) : 2/3= 2/15 xx 3/2= 6/30= 1/5`