Question

Insert 4 rational numbers between 5/6 and 7/12

Answer 1

Answer:

Taking LCM of denominator and multiplying the numbers with LCM we get : -20/24 and 21/24 now 5 rational between between -20/24 and 21/24 are -19/24, -17/24, 1/24, 5/24, 7/24. Therefore 

5 rational number between -5/6 and 7/8 are :

-19/24, -17/24, 1/24, 5/24, 7/24

Answer 2

Answer:

The four rational number between $\frac{5}{6}$ and $\frac{7}{12}$ are $\frac{15}{24}, \frac{14}{24}, \frac{17}{24} and \frac{18}{24}$

Step-by-step explanation:

Explanation:

Given, $\frac{5}{6}$ and $\frac{7}{12}$

• Rational number - A rational number can be stated mathematically as the ratio or fraction $\frac{p}{q}$ of two numbers, where p and q are the numerator and denominator, respectively.

• For instance, every integer  $\frac{-5}{7}$are rational number.

Step 1:

We have $\frac{5}{6}$ and $\frac{7}{12}$.

Factor of 6 = 2× 3

Factor of 12 = 2× 2 ×3

LCM of 6 and 12 is 12.

Now, we make the denominator of each rational number equal to 12.

⇒ $\frac{5}{6}$ × $\frac{2}{2}$ = $\frac{10}{12}$

Now we multiply both the denominator and numerator of each rational number by 2.

⇒ $\frac{10}{12}$ × $\frac{2}{2}$ = $\frac{20}{24}$ and $\frac{7}{12}$ × $\frac{2}{2}$ = $\frac{14}{24}$

So, the rational number between $\frac{20}{24}$ and $\frac{14}{24}$ are,

$\frac{15}{24}, \frac{14}{24}, \frac{17}{24},\frac{18}{24} , \frac{19}{20}$

Final answer:

Hence, the four rational number between $\frac{5}{6}$ and $\frac{7}{12}$ are $\frac{15}{24}, \frac{14}{24}, \frac{17}{24} and \frac{18}{24}$

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