What is 2/16 divided by 9/21? (Answer: 7/24)

Exact Answer

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Problem: What is 2/16 divided by 9/21?
Formula / Expression: 2/16 ÷ 9/21
Final Answer: 7/24
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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 9/21 to get 21/9.
Working: 2/16 ÷ 9/21 = 2/16 × 21/9

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (16 × 9 = 144).
Working: 2 × 21/16 × 9 = 42/144

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 144, which is 6. Divide both the numerator and denominator by 6.
Working: 42 ÷ 6/144 ÷ 6 = 7/24

Step 4: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 24 produces a repeating decimal (approximately 0.291667, or 29.1667%).
Working: 7 ÷ 24 = 0.291667 (29.1667%)

Key Values:
- Simplified Fraction: 7/24
- Mixed Number Form: 7/24
- Decimal Value: 0.291667
- Percentage: 29.1667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-16-divided-by-9-21/
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2/16 ÷ 9/21 = 7/24

Simplified Fraction

7/24

Mixed Number

Proper (7/24)

Decimal Value

0.291667

Percentage

29.1667%

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Step-by-Step Solution: 2/16 ÷ 9/21

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 9/21 to get 21/9.

2/16 ÷ 9/21 = 2/16 × 21/9

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (2 × 21 = 42) and denominators (16 × 9 = 144).

2 × 21/16 × 9 = 42/144

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 42 and 144, which is 6. Divide both the numerator and denominator by 6.

42 ÷ 6/144 ÷ 6 = 7/24

Step 4

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 24 produces a repeating decimal (approximately 0.291667, or 29.1667%).

7 ÷ 24 = 0.291667 (29.1667%)

Visual Representation

The diagram below illustrates 2/16 divided by 9/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/24`
Mixed Number Form	`7/24`
Decimal Form	`0.291667`
Percentage	`29.1667%`

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Frequently Asked Questions

What is 2/16 divided by 9/21 as a fraction?

2/16 ÷ 9/21 in simplest fraction form is 7/24.

What is 2/16 divided by 9/21 as a decimal?

2/16 ÷ 9/21 converted to a decimal is 0.291667.

What is 2/16 divided by 9/21 as a percentage?

2/16 ÷ 9/21 expressed as a percentage is 29.1667%.

Does 2/16 divided by 9/21 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.291667...) because the denominator contains prime factors other than 2 and 5.