What is 3/9 divided by 2/3? (Answer: 1/2)

Exact Answer

==================================================
Problem: What is 3/9 divided by 2/3?
Formula / Expression: 3/9 ÷ 2/3
Final Answer: 1/2
==================================================

Step-by-Step Solution:

Step 1: Find the Reciprocal of the Second Fraction
Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 2/3 to get 3/2.
Working: 3/9 ÷ 2/3 = 3/9 × 3/2

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (3 × 3 = 9) and denominators (9 × 2 = 18).
Working: 3 × 3/9 × 2 = 9/18

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 9 and 18, which is 9. Divide both the numerator and denominator by 9.
Working: 9 ÷ 9/18 ÷ 9 = 1/2

Step 4: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 2 yields an exact terminating decimal of 0.5 (or 50%).
Working: 1 ÷ 2 = 0.5 (50%)

Key Values:
- Simplified Fraction: 1/2
- Mixed Number Form: 1/2
- Decimal Value: 0.5
- Percentage: 50%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-9-divided-by-2-3/
==================================================

3/9 ÷ 2/3 = 1/2

Simplified Fraction

1/2

Mixed Number

Proper (1/2)

Decimal Value

0.5

Percentage

50%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 3/9 ÷ 2/3

Step 1

Find the Reciprocal of the Second Fraction

Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 2/3 to get 3/2.

3/9 ÷ 2/3 = 3/9 × 3/2

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (3 × 3 = 9) and denominators (9 × 2 = 18).

3 × 3/9 × 2 = 9/18

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 9 and 18, which is 9. Divide both the numerator and denominator by 9.

9 ÷ 9/18 ÷ 9 = 1/2

Step 4

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 2 yields an exact terminating decimal of 0.5 (or 50%).

1 ÷ 2 = 0.5 (50%)

Visual Representation

The diagram below illustrates 3/9 divided by 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1/2`
Mixed Number Form	`1/2`
Decimal Form	`0.5`
Percentage	`50%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 3/9 divided by 2/3 as a fraction?

3/9 ÷ 2/3 in simplest fraction form is 1/2.

What is 3/9 divided by 2/3 as a decimal?

3/9 ÷ 2/3 converted to a decimal is 0.5.

What is 3/9 divided by 2/3 as a percentage?

3/9 ÷ 2/3 expressed as a percentage is 50%.

Does 3/9 divided by 2/3 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.5) because the denominator in simplest terms contains only prime factors 2 and/or 5.