1 Answer

Adama · Answer 1 · 2023-02-11T04:12:53+0000

Firsr, we must convert the mixed fractions to simple fractions in order to solve this question:

$1\text{ }(3)/(4)=(4\cdot1+3)/(4)=(7)/(4)$

and

$7(3)/(4)=(4\cdot7+3)/(4)=(31)/(4)$

Now, we can solve this question by means of the rule of three:

$\begin{gathered} (7)/(4)\text{inches ------- 1 we}ek \\ (31)/(4)\text{inches ------- x} \end{gathered}$

hence,

$\begin{gathered} x=((31)/(4)\cdot1)/((7)/(4)) \\ x=((31)/(4))/((7)/(4)) \end{gathered}$

by applying the Sandwich law, we have

$\begin{gathered} x=(31\cdot4)/(7\cdot4) \\ x=(31)/(7) \end{gathered}$

In mixed fraction, 31/7 is

that is, 4 and 3/7 weeks

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