What is 9/24 plus 4/8? (Answer: 7/8)

Exact Answer

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Problem: What is 9/24 plus 4/8?
Formula / Expression: 9/24 + 4/8
Final Answer: 7/8
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 24 is an exact multiple of 8 (8 × 3 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.
Working: LCD(24, 8) = 24

Step 2: Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 9/24 by 1, and multiply the numerator and denominator of 4/8 by 3 so both fractions share the common base 24.
Working: 9 × 1/24 × 1 = 9/24 and 4 × 3/8 × 3 = 12/24

Step 3: Add the Numerators
Now add the numerators (9 + 12 = 21) and keep the common denominator 24 unchanged.
Working: 9 + 12/24 = 21/24

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 21 and 24, which is 3. Divide both the numerator and denominator by 3.
Working: 21 ÷ 3/24 ÷ 3 = 7/8

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 8 yields an exact terminating decimal of 0.875 (or 87.5%).
Working: 7 ÷ 8 = 0.875 (87.5%)

Key Values:
- Simplified Fraction: 7/8
- Mixed Number Form: 7/8
- Decimal Value: 0.875
- Percentage: 87.5%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-9-24-plus-4-8/
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9/24 + 4/8 = 7/8

Simplified Fraction

7/8

Mixed Number

Proper (7/8)

Decimal Value

0.875

Percentage

87.5%

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Step-by-Step Solution: 9/24 + 4/8

Step 1

Find the Least Common Denominator (LCD)

Notice that 24 is an exact multiple of 8 (8 × 3 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.

LCD(24, 8) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

Multiply the numerator and denominator of 9/24 by 1, and multiply the numerator and denominator of 4/8 by 3 so both fractions share the common base 24.

9 × 1/24 × 1 = 9/24 and 4 × 3/8 × 3 = 12/24

Step 3

Add the Numerators

Now add the numerators (9 + 12 = 21) and keep the common denominator 24 unchanged.

9 + 12/24 = 21/24

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 21 and 24, which is 3. Divide both the numerator and denominator by 3.

21 ÷ 3/24 ÷ 3 = 7/8

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 8 yields an exact terminating decimal of 0.875 (or 87.5%).

7 ÷ 8 = 0.875 (87.5%)

Visual Representation

The diagram below illustrates 9/24 plus 4/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/8`
Mixed Number Form	`7/8`
Decimal Form	`0.875`
Percentage	`87.5%`

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Frequently Asked Questions

What is 9/24 plus 4/8 as a fraction?

9/24 + 4/8 in simplest fraction form is 7/8.

What is 9/24 plus 4/8 as a decimal?

9/24 + 4/8 converted to a decimal is 0.875.

What is 9/24 plus 4/8 as a percentage?

9/24 + 4/8 expressed as a percentage is 87.5%.

Does 9/24 plus 4/8 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.875) because the denominator in simplest terms contains only prime factors 2 and/or 5.