What is 5/24 plus 2/3? (Answer: 7/8)

Exact Answer

==================================================
Problem: What is 5/24 plus 2/3?
Formula / Expression: 5/24 + 2/3
Final Answer: 7/8
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 24 is an exact multiple of 3 (3 × 8 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.
Working: LCD(24, 3) = 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 2/3 by 8 so both fractions share the common base 24.
Working: 5 × 1/24 × 1 = 5/24 and 2 × 8/3 × 8 = 16/24

Step 3: Add the Numerators
Now add the numerators (5 + 16 = 21) and keep the common denominator 24 unchanged.
Working: 5 + 16/24 = 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%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-24-plus-2-3/
==================================================

5/24 + 2/3 = 7/8

Simplified Fraction

7/8

Mixed Number

Proper (7/8)

Decimal Value

0.875

Percentage

87.5%

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 + 2/3

Step 1

Find the Least Common Denominator (LCD)

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

LCD(24, 3) = 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 2/3 by 8 so both fractions share the common base 24.

5 × 1/24 × 1 = 5/24 and 2 × 8/3 × 8 = 16/24

Step 3

Add the Numerators

Now add the numerators (5 + 16 = 21) and keep the common denominator 24 unchanged.

5 + 16/24 = 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 5/24 plus 2/3 visually:

Summary & Alternative Representations

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

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 5/24 plus 2/3 as a fraction?

5/24 + 2/3 in simplest fraction form is 7/8.

What is 5/24 plus 2/3 as a decimal?

5/24 + 2/3 converted to a decimal is 0.875.

What is 5/24 plus 2/3 as a percentage?

5/24 + 2/3 expressed as a percentage is 87.5%.

Does 5/24 plus 2/3 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.