A fraction represents any number of equal parts. It is a part of a whole.

Fraction consists of a numerator which is present above a line or before a slash like 1⁄2 and a non-zero denominator, which is displayed below or after that line.

The numerator indicates the number of equal parts, and the denominator represents how many of those parts make up a unit or a whole. The denominator never is zero, because zero parts can never make up a whole.

Numerators and denominators that are also not common, including compound, complex, and mixed numerals.

In positive common fractions, the numerator and denominator are natural numbers. For instance, in the fraction ⅔, 2 represents 2 equal parts, and the denominator 3 indicates that 3 parts make up a whole.

⅔ can also be represented as a decimal, a percent, or with a negative exponent.

**Types **

**Unit fractions**

Numerator 1 are called unit fractions, e.g. ½, ⅓, ¼, etc.

**Proper fractions**

Fractions in which the numerator is less than the denominator. ⅔, ⅘, etc

**Improper fractions**

Fractions in which the numerator is more than or equal to the denominator are called improper fractions. 4/3, 5/4, 7/6 etc.

**Mixed fractions**

Mixed fractions consist of a whole number along with a proper. 2½, 5⅗, 4⅔ etc.

**Addition **

⅓ + ⅖ = 5 + 3 / 15 = 8 / 15

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**Vedic Method of Finding largest And Smallest fraction**

3 /5 , 3 / 4 , 2/ 3 , 4 / 5

**Step 1:** Find the difference in each

3 / 5 — 5 – 3 = 2

3 / 4 — 4 – 3 = 1

2 / 3 — 3 – 2 = 1

4 / 5 — 5 – 4 = 1

**Step 2:** Multiply all differences

2 × 1 × 1 × 1 = 2

**Step 3 :** Find the factor of

2 and 2 = 1

1 and 2 = 2

1 and 2 = 2

1 and 2 = 2

**Step 3:** Multiply numerators with these factors

3 / 5 × 1 = 3 / 5

3 / 4 × 2 = 6 / 5

2 / 3 × 2 = 4 / 5

4 / 5 × 2 = 8 / 5

》 Answer

8 / 5 = Largest

3 / 5 = Smallest

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