What number best completes both equations


What number best completes both equations

Answers

The answer would be 20/9

Consider the given equations:

The first equation is as:

\frac{5}{7} \div \frac{1}{3} = ?

So, \frac{5}{7} \div \frac{1}{3}

= \frac{5}{7} \times \frac{3}{1}

Multiplying the given fractions, we get as

= \frac{15}{7}

Now, consider the second equation as:

? \times \frac{1}{3} = \frac{5}{7}

Multiplying by '3' to both the sides of the equation, we get

? \times \frac{1}{3} \times 3 = 3 \times \frac{5}{7}

? = \frac{15}{7}

So, the number which best completes both the equations is \frac{15}{7}.

 The number that best completes the given two equations is \dfrac{20}9}.

Step-by-step explanation:  We are given to find the numbers that best completes the following two equations :

\dfrac{2}{3}\div\dfrac{3}{10}=?\\\\\\?\times\dfrac{3}{10}=\dfrac{2}{3}.

Let x and y be the numbers that completes the first and second equation respectively.

So, we get

x=\dfrac{2}{3}\div\dfrac{3}{10}=\dfrac{2}{3}\times\dfrac{10}{3}=\dfrac{20}{9}

and

y\times\dfrac{3}{10}=\dfrac{2}{3}\\\\\\\Rightarrow y=\dfrac{\frac{2}{3}}{\frac{3}{10}}\\\\\\\Rightarrow y=\dfrac{2}{3}\times\dfrac{10}{3}\\\\\\\Rightarrow y=\dfrac{20}{9}.

Thus, the number that best completes the given two equations is \dfrac{20}9}.

2/3 / 3/10 = 2 1/9
2 1/9 x 3/10 = 2/3
15/7 or 2 1/7 (same number but the first one is an improper fraction and the other is a mixed fraction) 
15/7 is the best number which completes both equations.If 5/7Ă·1/3 then it becomes 5/7 X 3/1 where 1/3 in denominator becomes 3/1 so that the value is 15/7 then 15/7 multiplied by 1/3 which yields 5/7.So we derive the final answer 5/7.This result involves only simple multiplication and division.
The number that best completes both equations is five over seven. 5 / 7


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