a)\(\dfrac{4}{5}=\dfrac{x}{35}\)

We have: \(\dfrac{4}{5}=\dfrac{4\cdot7}{5\cdot7}=\dfrac{28}{35}\)

Accrue: \(\dfrac{4}{5}=\dfrac{28}{35}\)

So \(x\) = 28

b)\(\dfrac{25}{15}=\dfrac{x}{27}=\dfrac{30}{y}\)

We have: \(\dfrac{25}{15}=\dfrac{25:5}{15:5}=\dfrac{5}{3}\)

                \(\dfrac{5}{3}=\dfrac{5\cdot9}{3\cdot9}=\dfrac{45}{27}\)   

Accrue: \(\dfrac{25}{15}=\dfrac{45}{27}\). So \(x\)=45

    * \(\dfrac{5}{3}=\dfrac{5\cdot6}{3\cdot6}=\dfrac{30}{18}\)

Accrue: \(\dfrac{25}{15}=\dfrac{30}{18}\). So \(y\)=18

\(\dfrac{30}{18}=\dfrac{30:6}{18:6}=\dfrac{5}{3}\)

\(\dfrac{105}{630}=\dfrac{105:105}{630:105}=\dfrac{1}{6}\)

\(\dfrac{75}{300}=\dfrac{75:75}{300:75}=\dfrac{1}{4}\)

a)\(2\dfrac{1}{5}+3\dfrac{4}{5}+9\dfrac{6}{5}=\dfrac{11}{5}+\dfrac{19}{5}+\dfrac{51}{5}=\dfrac{11+19+51}{5}=\dfrac{81}{5}\)

b)\(5\dfrac{7}{9}\cdot6\dfrac{2}{4}\cdot4\dfrac{5}{8}=\dfrac{52}{9}\cdot\dfrac{26}{4}\cdot\dfrac{37}{8}=\dfrac{52\cdot26\cdot37}{9\cdot4\cdot8}=\dfrac{50024}{288}=173\dfrac{25}{36}\)

a) 6:9=\(\dfrac{6}{9}\)

b) 7:4=\(\dfrac{7}{4}\)

c) 12:5=\(\dfrac{12}{5}\)

d) 9:19=\(\dfrac{9}{19}\)

e) 7:13=\(\dfrac{7}{13}\)

a) 19:14=\(1\dfrac{5}{14}\)

b) 28:13=\(2\dfrac{2}{13}\)

c) 27:21= \(1\dfrac{2}{7}\)

d) 15:10=\(1\dfrac{1}{2}\)

e) 45:6=\(7\dfrac{1}{2}\)

a) Five fractions equals 3/5: 6/10; 9/15; 12/20; 15/25; 30/50.

b) Five fractions equals 5/8: 10/16; 15/24; 20/32; 25/40; 50/80.

c) Five fractions equals 36/108: 1/3; 2/6; 3/9; 12/36; 18/54.