Question

Answer 1

a)

\(\dfrac{7}{8}+\dfrac{5}{12}\)

\(=\dfrac{84}{96}+\dfrac{40}{36}\)

\(=\dfrac{31}{24}\)

b)

\(4-\dfrac{2}{5}\)

\(=\dfrac{4}{1}-\dfrac{2}{5}\)

\(=\dfrac{20}{5}-\dfrac{2}{5}\)

\(=\dfrac{18}{5}\)

c)

\(\dfrac{7}{10}.\dfrac{5}{49}\)

\(=\dfrac{7.5}{10.49}\)

\(=\dfrac{1}{14}\)

d)

\(\dfrac{12}{49}:\dfrac{16}{21}\)

\(=\dfrac{12}{49}.\dfrac{21}{16}\)

\(=\dfrac{12.21}{49.16}\)

\(=\dfrac{9}{28}\)

Answer 2

a: =21/24+10/24=31/24

b: =20/5-2/5=18/5

c: =7/49*5/10=1/2*1/7=1/14

d: \(=\dfrac{12}{49}\cdot\dfrac{21}{16}=\dfrac{3}{4}\cdot\dfrac{3}{7}=\dfrac{9}{28}\)