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What are Decimal Fractions | Fractions and Decimals Class 5 Maths | MathOGuide

In this video you will learn that what are decimal fraction.
Decimal fractions are the fractions in which denominators have powers of 10.

In Class 5 math, the concepts of decimal fractions, fractions, and decimals are fundamental for understanding parts of a whole and how to work with them. Here’s a simple explanation of each:


Fractions
A fraction represents a part of a whole. It is written as ({a}/{b}), where:
- **a** is the numerator (the number of parts you have).
- **b** is the denominator (the total number of equal parts).

**Example**: (frac{3/4}) means 3 out of 4 equal parts.

### Decimal Fractions
Decimal fractions are fractions where the denominator is a power of 10 (like 10, 100, 1000).

They are written with a decimal point. Decimal fractions are a way to express fractions that have denominators of 10, 100, 1000, etc.

**Example**:
(1/10) can be written as 0.1.
(25/100) can be written as 0.25.


Decimals
Decimals are a way of representing fractions in the base-10 number system. They use a decimal point to separate the whole number part from the fractional part.

**Example**:
0.7 represents (7/10).
0.45 represents (45/100).

Converting Between Fractions and Decimals
1. **To convert a fraction to a decimal**: Divide the numerator by the denominator.
(3/4) = 3 ÷ 4 = 0.75

2. **To convert a decimal to a fraction**: Write the decimal as a fraction with a power of 10 as the denominator, then simplify if needed.

0.6 = (6/10) = (3/5) (simplified)

Understanding these concepts helps in performing arithmetic operations, comparing sizes, and solving various problems involving parts of a whole.

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