What is 2/15 plus 1/4? (Answer: 23/60)

Exact Answer

==================================================
Problem: What is 2/15 plus 1/4?
Formula / Expression: 2/15 + 1/4
Final Answer: 23/60
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 15 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 15 × 4 = 60.
Working: LCD(15, 4) = 60

Step 2: Convert to Equivalent Fractions with Common Denominator 60
Multiply the numerator and denominator of 2/15 by 4, and multiply the numerator and denominator of 1/4 by 15 so both fractions share the common base 60.
Working: 2 × 4/15 × 4 = 8/60 and 1 × 15/4 × 15 = 15/60

Step 3: Add the Numerators
Now add the numerators (8 + 15 = 23) and keep the common denominator 60 unchanged.
Working: 8 + 15/60 = 23/60

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 23 and 60 is 1, confirming that 23/60 cannot be reduced further—it is already in its simplest irreducible form.
Working: 23/60

Step 5: Decimal & Percentage Representation
Dividing the numerator 23 by denominator 60 produces a repeating decimal (approximately 0.383333, or 38.3333%).
Working: 23 ÷ 60 = 0.383333 (38.3333%)

Key Values:
- Simplified Fraction: 23/60
- Mixed Number Form: 23/60
- Decimal Value: 0.383333
- Percentage: 38.3333%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-15-plus-1-4/
==================================================

2/15 + 1/4 = 23/60

Simplified Fraction

23/60

Mixed Number

Proper (23/60)

Decimal Value

0.383333

Percentage

38.3333%

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: 2/15 + 1/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 15 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 15 × 4 = 60.

LCD(15, 4) = 60

Step 2

Convert to Equivalent Fractions with Common Denominator 60

Multiply the numerator and denominator of 2/15 by 4, and multiply the numerator and denominator of 1/4 by 15 so both fractions share the common base 60.

2 × 4/15 × 4 = 8/60 and 1 × 15/4 × 15 = 15/60

Step 3

Add the Numerators

Now add the numerators (8 + 15 = 23) and keep the common denominator 60 unchanged.

8 + 15/60 = 23/60

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 23 and 60 is 1, confirming that 23/60 cannot be reduced further—it is already in its simplest irreducible form.

23/60

Step 5

Decimal & Percentage Representation

Dividing the numerator 23 by denominator 60 produces a repeating decimal (approximately 0.383333, or 38.3333%).

23 ÷ 60 = 0.383333 (38.3333%)

Visual Representation

The diagram below illustrates 2/15 plus 1/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/60`
Mixed Number Form	`23/60`
Decimal Form	`0.383333`
Percentage	`38.3333%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/15 plus 1/4 as a fraction?

2/15 + 1/4 in simplest fraction form is 23/60.

What is 2/15 plus 1/4 as a decimal?

2/15 + 1/4 converted to a decimal is 0.383333.

What is 2/15 plus 1/4 as a percentage?

2/15 + 1/4 expressed as a percentage is 38.3333%.

Does 2/15 plus 1/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.383333...) because the denominator contains prime factors other than 2 and 5.