What is 2/3 divided by 7/9? (Answer: 6/7)

Exact Answer

==================================================
Problem: What is 2/3 divided by 7/9?
Formula / Expression: 2/3 ÷ 7/9
Final Answer: 6/7
==================================================

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 7/9 to get 9/7.
Working: 2/3 ÷ 7/9 = 2/3 × 9/7

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (2 × 9 = 18) and denominators (3 × 7 = 21).
Working: 2 × 9/3 × 7 = 18/21

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 18 and 21, which is 3. Divide both the numerator and denominator by 3.
Working: 18 ÷ 3/21 ÷ 3 = 6/7

Step 4: Decimal & Percentage Representation
Dividing the numerator 6 by denominator 7 produces a repeating decimal (approximately 0.857143, or 85.7143%).
Working: 6 ÷ 7 = 0.857143 (85.7143%)

Key Values:
- Simplified Fraction: 6/7
- Mixed Number Form: 6/7
- Decimal Value: 0.857143
- Percentage: 85.7143%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-3-divided-by-7-9/
==================================================

2/3 ÷ 7/9 = 6/7

Simplified Fraction

6/7

Mixed Number

Proper (6/7)

Decimal Value

0.857143

Percentage

85.7143%

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: 2/3 ÷ 7/9

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 7/9 to get 9/7.

2/3 ÷ 7/9 = 2/3 × 9/7

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (2 × 9 = 18) and denominators (3 × 7 = 21).

2 × 9/3 × 7 = 18/21

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 18 and 21, which is 3. Divide both the numerator and denominator by 3.

18 ÷ 3/21 ÷ 3 = 6/7

Step 4

Decimal & Percentage Representation

Dividing the numerator 6 by denominator 7 produces a repeating decimal (approximately 0.857143, or 85.7143%).

6 ÷ 7 = 0.857143 (85.7143%)

Visual Representation

The diagram below illustrates 2/3 divided by 7/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/7`
Mixed Number Form	`6/7`
Decimal Form	`0.857143`
Percentage	`85.7143%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/3 divided by 7/9 as a fraction?

2/3 ÷ 7/9 in simplest fraction form is 6/7.

What is 2/3 divided by 7/9 as a decimal?

2/3 ÷ 7/9 converted to a decimal is 0.857143.

What is 2/3 divided by 7/9 as a percentage?

2/3 ÷ 7/9 expressed as a percentage is 85.7143%.

Does 2/3 divided by 7/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.857143...) because the denominator contains prime factors other than 2 and 5.