Question

Write the decimal expression of the rational number 7/8 with out actual division

Answer 1

Step-by-step explanation:

First,

We can write 8 as 2^3

So, now the fraction is 7/(2^3)

Now, multiply and divide the equation by 5^3.

Therefore, the fraction will be (7 x 5^3) / (2^3 x 5^3)

By Simplification

We get, (7 x 125) / (10)^3

= 875/1000

Therefore, the decimal expansion is 0.875.

Hope it helped you.