convert into rational number with full explanation.............
Answers
Hope it's helpful to you.
Answer:
It is not the same but you can take a look at this sum and then try n solve your question
Step-by-step explanation:
. Convert 0.7777… into rational fraction.
Solution:
Step I: x = 0.7777
Step II: After examining we find that repeating digit is 7.
Step III: Place the repeating digit (7) to the left of decimal point. To do so, we need to move the decimal point 1 place to the right. This can also be done by multiplying the given no. by 10.
So, 10x = 7.777
Step IV: After step 3 place the repeating digits to the right of decimal point. In this case if we place the repeating digits to the right of decimal point it becomes the original number.
x = 0.7777
Step V: The two equations are-
x = 0.7777,
⟹ 10x = 7.777
Now we have to subtract the right and left hand sides-
10x - x = 7.777- 0.7777
⟹ 9x = 7.0
⟹ x = 79
Hence, x= 79 is the required rational number