Question

3/7 lies between 42/99 and
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Answer 1

Answer:

42/99 MARK ME AS Brainiest

Step-by-step explanation:

3/7=0.428571

(a) 49=0.444....59-0.555...

(b) 4399=0.434343...49-0.4444....

(c) 49=0.4444...4299-0.424242...

(d) 4199=0.0414141...4299=0.424242...

Answer 2

Answer:

The number $\frac{3}{7}$ lies between $\bold{\frac{42}{99}}$ and $\bold{\frac{4}{9}}$.

Step-by-step explanation:

Given number is $\frac{3}{7}$

Let us assume that the required number =$x$

Now we have

$\frac{3}{7} -\frac{42}{99}=x$

Now we rewrite the above equation as and solve it further by simplifying, and we get

$\frac{42}{99}-\frac{3}{7}=x$

Now we take L.C.M of the above numbers to get the desired result,  and we get

$\frac{294-99}{693}=x\\x=\frac{195}{693}$

Thus, the required number is $\frac{195}{693}$  which is greater than zero, so it is a positive number and the simplest form of the number is $\frac{4}{9}$.

Therefore, The number $\frac{3}{7}$ lies between $\bold{\frac{42}{99}}$ and $\bold{\frac{4}{9}}$

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