Question

whats 0.47 with 7 repeating as a fraction

Answer 1

Concept Introduction:

Fraction contains two parts, the number above the line is called numerator and below it is called denominator.

Given Information:

The numbers $0.47$ and$7$

To find:

The fraction of the number $0.47$ with $7$ repeating.

Solution:

According to the problem,

Let $n=0.47....(i)$

As there is one digit in repeating block $(7)$ so multiplyong both sides with one zeros,

$10 n=4.77....(ii)$

Subtracting both equation swe get,

$9n=4.3$

Multiplying the numerator by $10$ we also have to multiply the denominator by $10$ so as to make it in an integer.

$\frac{4.3}{9}=\frac{43}{90}$

Thus, $n=\frac{43}{90}$

The repaeting decimal $0.47$ has a repeated block length of one. It is also represented as $0.477....$ which is ultimately equals to $0.477777$.

Final Answer:

The fraction is $\frac{43}{90}$