# Grade 5, Maths Olympiad (CBSE) - Conversions (Decimals- Fractions)

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Grade 5 | Maths | Conversions (Decimals- Fractions), Fractions and Decimals, Olympiad, CBSE, ICSE, SOF, ITO

**Decimal-Fraction conversion**

Decimal system is a commonly used number system where every number is expressed in base ten. Each place has a value which is obtained by multiplying 10 as many times as the position of the number minus 1

E.g. 234=2 X 10X10 + 2 X 10 + 4 X 0

If we go from right to left place becomes 10 times smaller.

Consider the number 234.25. **"." **is called the decimal point. As we move from right to left after decimal point place becomes 10 times smaller.

234.25: 234 is the whole part and **.25** is the decimal part.

234.25 can be written as 200 + 30 + 4 + 2/10 + 5/100. This is called the expanded form of the decimal.

**Conversion of decimal to fraction**

- Write the number in the form of a fraction with 1 as the denominator.
- Mutliply numerator and denominator by as many 10 as there are decimal places.

**E.g.**

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