Answer:
a) 15/32
b) 1/4
c) 7/12
d) 12/35
Step-by-step explanation:
Here the given sign (•) and (of) are Multiplication sign. So, let us solve this question by multiplication.
a) 3/4 of 5/8
[tex]\begin{gathered} \begin{array}{l}\implies\tt{\dfrac{3}{4} \: of \: \dfrac{5}{8}} \\ \\\implies\tt{\dfrac{3}{4} \times \dfrac{5}{8}} \\ \\ \implies\tt{\dfrac{3 \times 5}{4 \times 8}} \\ \\ \implies\tt{\underline{\underline{\pink{\dfrac{15}{32}}}}} \end{array}\end{gathered}[/tex]
- Hence, the answer is 15/32
[tex]\begin{gathered}\end{gathered}[/tex]
b) 3/8 • 2/3
[tex]\begin{gathered} \begin{array}{l}\longmapsto\tt{\dfrac{3}{8} \bull \dfrac{2}{3}} \\ \\\longmapsto\tt{\dfrac{3}{8} \times \dfrac{2}{3}} \\ \\ \longmapsto\tt{\dfrac{3}{\cancel{8}} \times \dfrac{\cancel{2}}{3}} \\ \\ \longmapsto\tt{\dfrac{\cancel{3}}{4} \times \dfrac{1}{\cancel{3}}} \\ \\ \longmapsto\tt{\dfrac{1\times 1}{4 \times 1}} \\ \\ \longmapsto\tt{\underline{\underline{\purple{\dfrac{1}{4}}}}} \end{array}\end{gathered}[/tex]
- Hence, the answer is 1/4.
[tex]\begin{gathered}\end{gathered}[/tex]
c) 2/3 of 7/8
[tex]\begin{gathered} \begin{array}{l}\longrightarrow\tt{\dfrac{2}{3} \: of \: \dfrac{7}{8}} \\ \\\longrightarrow\tt{\dfrac{2}{3} \times \dfrac{7}{8}} \\ \\ \longrightarrow\tt{\dfrac{\cancel{2}}{3} \times \dfrac{7}{\cancel{8}}} \\ \\ \longrightarrow\tt{\dfrac{1 \times 7}{3 \times 4}} \\ \\ \longrightarrow\tt{\underline{\underline{\blue{\dfrac{7}{12}}}}} \end{array}\end{gathered}[/tex]
- Hence, the answer is 7/12.
[tex]\begin{gathered}\end{gathered}[/tex]
d) 4/5 • 3/7
[tex]\begin{gathered} \begin{array}{l}\dashrightarrow\tt{\dfrac{4}{5} \bull\dfrac{3}{7}} \\\\\dashrightarrow\tt{\dfrac{4}{5} \times \dfrac{3}{7}} \\\ \\ \dashrightarrow\tt{\dfrac{4 \times 3}{5 \times 7}} \\ \\ \dashrightarrow\tt{\underline{\underline{\red{\dfrac{12}{35}}}}} \end{array}\end{gathered}[/tex]
- Hence, the answer is 12/35.
[tex]\rule{300}{2.5}[/tex]
