Question

a, 3/16:x=15/32                                   

b,3/16-x:5/4=1/8

c,(3/20-x):5/4=1/10

d,x/2+x/3-x/4=14

Answer 1

\(a,\dfrac{3}{16}:x=\dfrac{15}{32}\)

\(x=\dfrac{3}{16}:\dfrac{15}{32}\)

\(x=\dfrac{96}{240}=\dfrac{6}{15}\)

_______________________

\(b.\dfrac{3}{16}-x:\dfrac{5}{4}=\dfrac{1}{8}\)

\(\dfrac{3}{16}-x=\dfrac{1}{8}.\dfrac{5}{4}\)

\(\dfrac{3}{16}-x=\dfrac{5}{32}\)

\(x=\dfrac{3}{16}-\dfrac{5}{32}\)

\(x=\dfrac{6}{32}-\dfrac{5}{32}=\dfrac{1}{32}\)

________________________

\(c,\left(\dfrac{3}{20}-x\right):\dfrac{5}{4}=\dfrac{1}{10}\)

\(\dfrac{3}{20}-x=\dfrac{1}{10}.\dfrac{5}{4}\)

\(\dfrac{3}{20}-x=\dfrac{1}{8}\)

\(x=\dfrac{3}{20}-\dfrac{1}{8}\)

\(x=\dfrac{6}{40}-\dfrac{5}{40}=\dfrac{1}{40}\)

______________________________

\(d,\dfrac{x}{2}+\dfrac{x}{3}-\dfrac{x}{4}=14\)

\(x\left(\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{4}\right)=14\)

\(x\dfrac{7}{12}=14\)

\(x=14:\dfrac{7}{12}\)

\(x=14.\dfrac{12}{7}=24\)