NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and Solutions
Question 86

Question. 86

Convert 2435 m to km and express the result as a mixed fraction.

\(2\dfrac{87}{200}\,\text{km}\)

We know that:
(1000, ext{m} = 1, ext{km})
To change metres to kilometres, divide by (1000).
(2435 div 1000 = 2.435)
So, (2435, ext{m} = 2.435, ext{km}).
Write the decimal as a mixed number:
(2.435 = 2 + 0.435)
Change the decimal part to a fraction:
(0.435 = rac{435}{1000})
Now simplify (rac{435}{1000}).
Both numbers are divisible by (5).
(rac{435 div 5}{1000 div 5} = rac{87}{200})
Put it all together as a mixed fraction:
(2 + rac{87}{200} = 2dfrac{87}{200})
Final answer:
(oxed{2dfrac{87}{200}, ext{km}})