What is 14/21 plus 15/21? (Answer: 29/21)

Exact Answer

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Problem: What is 14/21 plus 15/21?
Formula / Expression: 14/21 + 15/21
Final Answer: 1 8/21 (29/21)
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Step-by-Step Solution:

Step 1: Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (21). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 21.
Working: 14/21 + 15/21

Step 2: Add the Numerators
Now add the numerators (14 + 15 = 29) and keep the common denominator 21 unchanged.
Working: 14 + 15/21 = 29/21

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 29 and 21 is 1, confirming that 29/21 cannot be reduced further—it is already in its simplest irreducible form.
Working: 29/21

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (29) is greater than the denominator (21), divide 29 by 21: it goes in 1 whole time(s) with a remainder of 8, giving the mixed number 1 8/21.
Working: 29/21 = 1 8/21

Step 5: Decimal & Percentage Representation
Dividing the numerator 29 by denominator 21 produces a repeating decimal (approximately 1.380952, or 138.0952%).
Working: 29 ÷ 21 = 1.380952 (138.0952%)

Key Values:
- Simplified Fraction: 29/21
- Mixed Number Form: 1 8/21
- Decimal Value: 1.380952
- Percentage: 138.0952%

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Solved with FractionsCalc:
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14/21 + 15/21 = 29/21

Simplified Fraction

29/21

Mixed Number

1 8/21

Decimal Value

1.380952

Percentage

138.0952%

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Step-by-Step Solution: 14/21 + 15/21

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (21). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 21.

14/21 + 15/21

Step 2

Add the Numerators

Now add the numerators (14 + 15 = 29) and keep the common denominator 21 unchanged.

14 + 15/21 = 29/21

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 29 and 21 is 1, confirming that 29/21 cannot be reduced further—it is already in its simplest irreducible form.

29/21

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (29) is greater than the denominator (21), divide 29 by 21: it goes in 1 whole time(s) with a remainder of 8, giving the mixed number 1 8/21.

29/21 = 18/21

Step 5

Decimal & Percentage Representation

Dividing the numerator 29 by denominator 21 produces a repeating decimal (approximately 1.380952, or 138.0952%).

29 ÷ 21 = 1.380952 (138.0952%)

Visual Representation

The diagram below illustrates 14/21 plus 15/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`29/21`
Mixed Number Form	`1 8/21`
Decimal Form	`1.380952`
Percentage	`138.0952%`

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Frequently Asked Questions

What is 14/21 plus 15/21 as a fraction?

14/21 + 15/21 in simplest fraction form is 29/21 (or 1 8/21 as a mixed number).

What is 14/21 plus 15/21 as a decimal?

14/21 + 15/21 converted to a decimal is 1.380952.

What is 14/21 plus 15/21 as a percentage?

14/21 + 15/21 expressed as a percentage is 138.0952%.

How do you write 14/21 plus 15/21 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 29/21 can be written as the mixed number 1 8/21.

Does 14/21 plus 15/21 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.380952...) because the denominator contains prime factors other than 2 and 5.