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5. What is the product of 2/3 and the qoutient of 6/8 and 4/5​

Sagot :

Answer:

5/8

Step-by-step explanation:

×(

8

6

÷

5

4

)

Find the quotient of the last two fraction first.

\begin{gathered} \frac{6}{8} \div \frac{4}{5} = \frac{6}{8} \div \frac{5}{4} \\ \\ \frac{6}{8} \div \frac{5}{4} = \frac{30}{32} \div 2 = \frac{15}{16} \end{gathered}

8

6

÷

5

4

=

8

6

÷

4

5

8

6

÷

4

5

=

32

30

÷2=

16

15

Then, get the product of two mentioned fractions.

\begin{gathered} \frac{2}{3} \times \frac{15}{16} = \frac{30}{48} \\ \\ \frac{30}{48} \div 6 = \frac{5}{8} \end{gathered}

3

2

×

16

15

=

48

30

48

30

÷6=

8

5