What is 2/7 times 9/21? (Answer: 6/49)

Exact Answer

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Problem: What is 2/7 times 9/21?
Formula / Expression: 2/7 × 9/21
Final Answer: 6/49
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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: 7 × 21 = 147.
Working: 2 × 9/7 × 21 = 18/147

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 18 and 147, which is 3. Divide both the numerator and denominator by 3.
Working: 18 ÷ 3/147 ÷ 3 = 6/49

Step 4: Decimal & Percentage Representation
Dividing the numerator 6 by denominator 49 produces a repeating decimal (approximately 0.122449, or 12.2449%).
Working: 6 ÷ 49 = 0.122449 (12.2449%)

Key Values:
- Simplified Fraction: 6/49
- Mixed Number Form: 6/49
- Decimal Value: 0.122449
- Percentage: 12.2449%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-7-times-9-21/
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2/7 × 9/21 = 6/49

Simplified Fraction

6/49

Mixed Number

Proper (6/49)

Decimal Value

0.122449

Percentage

12.2449%

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Step-by-Step Solution: 2/7 × 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: 7 × 21 = 147.

2 × 9/7 × 21 = 18/147

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 18 and 147, which is 3. Divide both the numerator and denominator by 3.

18 ÷ 3/147 ÷ 3 = 6/49

Step 4

Decimal & Percentage Representation

Dividing the numerator 6 by denominator 49 produces a repeating decimal (approximately 0.122449, or 12.2449%).

6 ÷ 49 = 0.122449 (12.2449%)

Visual Representation

The diagram below illustrates 2/7 times 9/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/49`
Mixed Number Form	`6/49`
Decimal Form	`0.122449`
Percentage	`12.2449%`

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Frequently Asked Questions

What is 2/7 times 9/21 as a fraction?

2/7 × 9/21 in simplest fraction form is 6/49.

What is 2/7 times 9/21 as a decimal?

2/7 × 9/21 converted to a decimal is 0.122449.

What is 2/7 times 9/21 as a percentage?

2/7 × 9/21 expressed as a percentage is 12.2449%.

Does 2/7 times 9/21 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.122449...) because the denominator contains prime factors other than 2 and 5.