What is 2/5 plus 10/23? (Answer: 96/115)

Exact Answer

==================================================
Problem: What is 2/5 plus 10/23?
Formula / Expression: 2/5 + 10/23
Final Answer: 96/115
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 5 and 23 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 5 × 23 = 115.
Working: LCD(5, 23) = 115

Step 2: Convert to Equivalent Fractions with Common Denominator 115
Multiply the numerator and denominator of 2/5 by 23, and multiply the numerator and denominator of 10/23 by 5 so both fractions share the common base 115.
Working: 2 × 23/5 × 23 = 46/115 and 10 × 5/23 × 5 = 50/115

Step 3: Add the Numerators
Now add the numerators (46 + 50 = 96) and keep the common denominator 115 unchanged.
Working: 46 + 50/115 = 96/115

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 96 and 115 is 1, confirming that 96/115 cannot be reduced further—it is already in its simplest irreducible form.
Working: 96/115

Step 5: Decimal & Percentage Representation
Dividing the numerator 96 by denominator 115 produces a repeating decimal (approximately 0.834783, or 83.4783%).
Working: 96 ÷ 115 = 0.834783 (83.4783%)

Key Values:
- Simplified Fraction: 96/115
- Mixed Number Form: 96/115
- Decimal Value: 0.834783
- Percentage: 83.4783%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-5-plus-10-23/
==================================================

2/5 + 10/23 = 96/115

Simplified Fraction

96/115

Mixed Number

Proper (96/115)

Decimal Value

0.834783

Percentage

83.4783%

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: 2/5 + 10/23

Step 1

Find the Least Common Denominator (LCD)

The denominators 5 and 23 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 5 × 23 = 115.

LCD(5, 23) = 115

Step 2

Convert to Equivalent Fractions with Common Denominator 115

Multiply the numerator and denominator of 2/5 by 23, and multiply the numerator and denominator of 10/23 by 5 so both fractions share the common base 115.

2 × 23/5 × 23 = 46/115 and 10 × 5/23 × 5 = 50/115

Step 3

Add the Numerators

Now add the numerators (46 + 50 = 96) and keep the common denominator 115 unchanged.

46 + 50/115 = 96/115

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 96 and 115 is 1, confirming that 96/115 cannot be reduced further—it is already in its simplest irreducible form.

96/115

Step 5

Decimal & Percentage Representation

Dividing the numerator 96 by denominator 115 produces a repeating decimal (approximately 0.834783, or 83.4783%).

96 ÷ 115 = 0.834783 (83.4783%)

Visual Representation

The diagram below illustrates 2/5 plus 10/23 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`96/115`
Mixed Number Form	`96/115`
Decimal Form	`0.834783`
Percentage	`83.4783%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/5 plus 10/23 as a fraction?

2/5 + 10/23 in simplest fraction form is 96/115.

What is 2/5 plus 10/23 as a decimal?

2/5 + 10/23 converted to a decimal is 0.834783.

What is 2/5 plus 10/23 as a percentage?

2/5 + 10/23 expressed as a percentage is 83.4783%.

Does 2/5 plus 10/23 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.834783...) because the denominator contains prime factors other than 2 and 5.