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40 votes
40 votes
Hi!, so i really need help with my Finding Equivalent Unit Fraction with Fractions worksheet because i really dont understand

Hi!, so i really need help with my Finding Equivalent Unit Fraction with Fractions-example-1
User Steven Muhr
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1 Answer

9 votes
9 votes

Let us analyze question 5.


((4)/(9))/((2)/(7))=(\square)/(1)

To simplify, we can represent the empty box with an alphabet. let us say y for example to that we will have

step 1:


((4)/(9))/((2)/(7))=(y)/(1)

Next, we will simplify the expression on the left -hand side by dividing


\begin{gathered} ((4)/(9))/((2)/(7))=(4)/(9)/(2)/(7)=(4)/(9)*(7)/(2) \\ \\ \end{gathered}

Simplifying further


(28)/(18)=(14)/(9)

This means that the value of the left-hand side of the equation is


(14)/(9)

step 2: Hence, we can equate to the right-hand side


(14)/(9)=(y)/(1)

Cross multiplying


\begin{gathered} 9* y=14*1 \\ 9y=14 \end{gathered}

Dividing both sides by 9


y=(14)/(9)

Question 6


\begin{gathered} ((6)/(7))/((3)/(4))=(p)/(1) \\ \\ ((6)/(7))/((3)/(4))=(6)/(7)/(3)/(4)=(6)/(7)*(4)/(3)=(8)/(7) \\ \end{gathered}

Thus the missing part is


(8)/(7)

User Demasterpl
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