Question

a, 2/3 . x = 2/7        b, x . 3/5 = 2/5        c, x : 8/13 = 13/7        d, 3/2 : x = 7/4

Answer 1

a

=> \(x=\dfrac{2}{7}:\dfrac{2}{3}=\dfrac{2.3}{2.7}=\dfrac{3}{7}\)

b

=> \(x=\dfrac{2}{5}:\dfrac{3}{5}=\dfrac{2.5}{3.5}=\dfrac{2}{3}\)

c

=> \(x=\dfrac{13}{7}.\dfrac{8}{13}=\dfrac{13.8}{7.13}=\dfrac{8}{7}\)

d

=> \(x=\dfrac{3}{2}:\dfrac{7}{4}=\dfrac{3.2.2}{2.7}=\dfrac{6}{7}\)

Answer 2

a: 2/3*x=2/7

=>x=2/7:2/3=3/7

b: x*3/5=2/5

=>x=2/5:3/5=2/5*5/3=10/15=2/3

c: x:8/13=13/7

=>x=13/7*8/13=8/7

d: 3/2:x=7/4

=>x=3/2:7/4=3/2*4/7=12/14=6/7

Answer 3

a) \(\dfrac{2}{3}\cdot x=\dfrac{2}{7}\)

\(\Rightarrow x=\dfrac{2}{7}:\dfrac{2}{3}\)

\(\Rightarrow x=\dfrac{2}{7}\cdot\dfrac{3}{2}\)

\(\Rightarrow x=\dfrac{3}{7}\)

b) \(x\cdot\dfrac{3}{5}=\dfrac{2}{5}\)

\(\Rightarrow x=\dfrac{2}{5}:\dfrac{3}{5}\)

\(\Rightarrow x=\dfrac{2}{5}\cdot\dfrac{5}{3}\)

\(\Rightarrow x=\dfrac{2}{3}\)

c) \(x:\dfrac{8}{13}=\dfrac{13}{7}\)

\(\Rightarrow x=\dfrac{8}{13}\cdot\dfrac{13}{7}\)

\(\Rightarrow x=\dfrac{8}{7}\)

d) \(\dfrac{3}{2}:x=\dfrac{7}{4}\)

\(\Rightarrow x=\dfrac{3}{2}:\dfrac{7}{4}\)

\(\Rightarrow x=\dfrac{3}{2}\cdot\dfrac{4}{7}\)

\(\Rightarrow x=\dfrac{6}{7}\)