What is 2/9 times 9/21? (Answer: 2/21)

Exact Answer

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Problem: What is 2/9 times 9/21?
Formula / Expression: 2/9 × 9/21
Final Answer: 2/21
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Step-by-Step Solution:

Step 1: Multiply the Numerators Together
Multiply the top numbers (numerators) of both fractions: 2 × 9 = 18.
Working: 2 × 9 = 18

Step 2: Multiply the Denominators Together
Multiply the bottom numbers (denominators) of both fractions: 9 × 21 = 189.
Working: 2 × 9/9 × 21 = 18/189

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 18 and 189, which is 9. Divide both the numerator and denominator by 9.
Working: 18 ÷ 9/189 ÷ 9 = 2/21

Step 4: Decimal & Percentage Representation
Dividing the numerator 2 by denominator 21 produces a repeating decimal (approximately 0.095238, or 9.5238%).
Working: 2 ÷ 21 = 0.095238 (9.5238%)

Key Values:
- Simplified Fraction: 2/21
- Mixed Number Form: 2/21
- Decimal Value: 0.095238
- Percentage: 9.5238%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-9-times-9-21/
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2/9 × 9/21 = 2/21

Simplified Fraction

2/21

Mixed Number

Proper (2/21)

Decimal Value

0.095238

Percentage

9.5238%

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Step-by-Step Solution: 2/9 × 9/21

Step 1

Multiply the Numerators Together

Multiply the top numbers (numerators) of both fractions: 2 × 9 = 18.

2 × 9 = 18

Step 2

Multiply the Denominators Together

Multiply the bottom numbers (denominators) of both fractions: 9 × 21 = 189.

2 × 9/9 × 21 = 18/189

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 18 and 189, which is 9. Divide both the numerator and denominator by 9.

18 ÷ 9/189 ÷ 9 = 2/21

Step 4

Decimal & Percentage Representation

Dividing the numerator 2 by denominator 21 produces a repeating decimal (approximately 0.095238, or 9.5238%).

2 ÷ 21 = 0.095238 (9.5238%)

Visual Representation

The diagram below illustrates 2/9 times 9/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`2/21`
Mixed Number Form	`2/21`
Decimal Form	`0.095238`
Percentage	`9.5238%`

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Frequently Asked Questions

What is 2/9 times 9/21 as a fraction?

2/9 × 9/21 in simplest fraction form is 2/21.

What is 2/9 times 9/21 as a decimal?

2/9 × 9/21 converted to a decimal is 0.095238.

What is 2/9 times 9/21 as a percentage?

2/9 × 9/21 expressed as a percentage is 9.5238%.

Does 2/9 times 9/21 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.095238...) because the denominator contains prime factors other than 2 and 5.