What is 5/24 plus 2/8? (Answer: 11/24)

Exact Answer

==================================================
Problem: What is 5/24 plus 2/8?
Formula / Expression: 5/24 + 2/8
Final Answer: 11/24
==================================================

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 5/24 by 1, and multiply the numerator and denominator of 2/8 by 3 so both fractions share the common base 24.
Working: 5 × 1/24 × 1 = 5/24 and 2 × 3/8 × 3 = 6/24

Step 3: Add the Numerators
Now add the numerators (5 + 6 = 11) and keep the common denominator 24 unchanged.
Working: 5 + 6/24 = 11/24

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 11 and 24 is 1, confirming that 11/24 cannot be reduced further—it is already in its simplest irreducible form.
Working: 11/24

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 24 produces a repeating decimal (approximately 0.458333, or 45.8333%).
Working: 11 ÷ 24 = 0.458333 (45.8333%)

Key Values:
- Simplified Fraction: 11/24
- Mixed Number Form: 11/24
- Decimal Value: 0.458333
- Percentage: 45.8333%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-24-plus-2-8/
==================================================

5/24 + 2/8 = 11/24

Simplified Fraction

11/24

Mixed Number

Proper (11/24)

Decimal Value

0.458333

Percentage

45.8333%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

Switch to Proportion / Missing X Solver (A/B = C/D) →

Enter 3 known numbers and leave 1 empty (or type x) to solve:

← Switch to Ratio Simplifier (A:B)

Provide any 2 values below to calculate the remaining:

Price before discount

Discount

Price after discount

You saved

+ Add Sales Tax & Extra Coupon (Optional)

Sales Tax: % Extra Off: %

Provide any 2 values below to calculate the remaining:

Cost

Markup

REVENUE

Gross Profit

Profit Margin

Bill Subtotal

Tip Percentage

Split (People)

👥

Quick Tip:

Total Bill

Split Between

👥

Tip % (Optional)

Include Tip:

Total Price

Quantity

Unit of Measure

← Discount & Sales Tax • Ratio Simplifier (A:B) →

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

Number to Round: To Nearest:

Method: Standard (5+ ↑) Always Up (Ceil) Always Down (Floor)

Presets:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 5/24 + 2/8

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 5/24 by 1, and multiply the numerator and denominator of 2/8 by 3 so both fractions share the common base 24.

5 × 1/24 × 1 = 5/24 and 2 × 3/8 × 3 = 6/24

Step 3

Add the Numerators

Now add the numerators (5 + 6 = 11) and keep the common denominator 24 unchanged.

5 + 6/24 = 11/24

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 11 and 24 is 1, confirming that 11/24 cannot be reduced further—it is already in its simplest irreducible form.

11/24

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 24 produces a repeating decimal (approximately 0.458333, or 45.8333%).

11 ÷ 24 = 0.458333 (45.8333%)

Visual Representation

The diagram below illustrates 5/24 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/24`
Mixed Number Form	`11/24`
Decimal Form	`0.458333`
Percentage	`45.8333%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 5/24 plus 2/8 as a fraction?

5/24 + 2/8 in simplest fraction form is 11/24.

What is 5/24 plus 2/8 as a decimal?

5/24 + 2/8 converted to a decimal is 0.458333.

What is 5/24 plus 2/8 as a percentage?

5/24 + 2/8 expressed as a percentage is 45.8333%.

Does 5/24 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.458333...) because the denominator contains prime factors other than 2 and 5.