What is 10/24 plus 2/4? (Answer: 11/12)

Exact Answer

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Problem: What is 10/24 plus 2/4?
Formula / Expression: 10/24 + 2/4
Final Answer: 11/12
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 24 is an exact multiple of 4 (4 × 6 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.
Working: LCD(24, 4) = 24

Step 2: Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 10/24 by 1, and multiply the numerator and denominator of 2/4 by 6 so both fractions share the common base 24.
Working: 10 × 1/24 × 1 = 10/24 and 2 × 6/4 × 6 = 12/24

Step 3: Add the Numerators
Now add the numerators (10 + 12 = 22) and keep the common denominator 24 unchanged.
Working: 10 + 12/24 = 22/24

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 22 and 24, which is 2. Divide both the numerator and denominator by 2.
Working: 22 ÷ 2/24 ÷ 2 = 11/12

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 12 produces a repeating decimal (approximately 0.916667, or 91.6667%).
Working: 11 ÷ 12 = 0.916667 (91.6667%)

Key Values:
- Simplified Fraction: 11/12
- Mixed Number Form: 11/12
- Decimal Value: 0.916667
- Percentage: 91.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-10-24-plus-2-4/
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10/24 + 2/4 = 11/12

Simplified Fraction

11/12

Mixed Number

Proper (11/12)

Decimal Value

0.916667

Percentage

91.6667%

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Step-by-Step Solution: 10/24 + 2/4

Step 1

Find the Least Common Denominator (LCD)

Notice that 24 is an exact multiple of 4 (4 × 6 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.

LCD(24, 4) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

Multiply the numerator and denominator of 10/24 by 1, and multiply the numerator and denominator of 2/4 by 6 so both fractions share the common base 24.

10 × 1/24 × 1 = 10/24 and 2 × 6/4 × 6 = 12/24

Step 3

Add the Numerators

Now add the numerators (10 + 12 = 22) and keep the common denominator 24 unchanged.

10 + 12/24 = 22/24

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 22 and 24, which is 2. Divide both the numerator and denominator by 2.

22 ÷ 2/24 ÷ 2 = 11/12

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 12 produces a repeating decimal (approximately 0.916667, or 91.6667%).

11 ÷ 12 = 0.916667 (91.6667%)

Visual Representation

The diagram below illustrates 10/24 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/12`
Mixed Number Form	`11/12`
Decimal Form	`0.916667`
Percentage	`91.6667%`

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Frequently Asked Questions

What is 10/24 plus 2/4 as a fraction?

10/24 + 2/4 in simplest fraction form is 11/12.

What is 10/24 plus 2/4 as a decimal?

10/24 + 2/4 converted to a decimal is 0.916667.

What is 10/24 plus 2/4 as a percentage?

10/24 + 2/4 expressed as a percentage is 91.6667%.

Does 10/24 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.916667...) because the denominator contains prime factors other than 2 and 5.