What is 4/15 plus 2/6? (Answer: 3/5)

Exact Answer

==================================================
Problem: What is 4/15 plus 2/6?
Formula / Expression: 4/15 + 2/6
Final Answer: 3/5
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 15 and 6 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 30 (which is smaller than their product 15 × 6 = 90, keeping the calculation simpler).
Working: LCD(15, 6) = 30

Step 2: Convert to Equivalent Fractions with Common Denominator 30
Multiply the numerator and denominator of 4/15 by 2, and multiply the numerator and denominator of 2/6 by 5 so both fractions share the common base 30.
Working: 4 × 2/15 × 2 = 8/30 and 2 × 5/6 × 5 = 10/30

Step 3: Add the Numerators
Now add the numerators (8 + 10 = 18) and keep the common denominator 30 unchanged.
Working: 8 + 10/30 = 18/30

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 18 and 30, which is 6. Divide both the numerator and denominator by 6.
Working: 18 ÷ 6/30 ÷ 6 = 3/5

Step 5: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 5 yields an exact terminating decimal of 0.6 (or 60%).
Working: 3 ÷ 5 = 0.6 (60%)

Key Values:
- Simplified Fraction: 3/5
- Mixed Number Form: 3/5
- Decimal Value: 0.6
- Percentage: 60%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-15-plus-2-6/
==================================================

4/15 + 2/6 = 3/5

Simplified Fraction

3/5

Mixed Number

Proper (3/5)

Decimal Value

0.6

Percentage

60%

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: 4/15 + 2/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 15 and 6 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 30 (which is smaller than their product 15 × 6 = 90, keeping the calculation simpler).

LCD(15, 6) = 30

Step 2

Convert to Equivalent Fractions with Common Denominator 30

Multiply the numerator and denominator of 4/15 by 2, and multiply the numerator and denominator of 2/6 by 5 so both fractions share the common base 30.

4 × 2/15 × 2 = 8/30 and 2 × 5/6 × 5 = 10/30

Step 3

Add the Numerators

Now add the numerators (8 + 10 = 18) and keep the common denominator 30 unchanged.

8 + 10/30 = 18/30

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 18 and 30, which is 6. Divide both the numerator and denominator by 6.

18 ÷ 6/30 ÷ 6 = 3/5

Step 5

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 5 yields an exact terminating decimal of 0.6 (or 60%).

3 ÷ 5 = 0.6 (60%)

Visual Representation

The diagram below illustrates 4/15 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/5`
Mixed Number Form	`3/5`
Decimal Form	`0.6`
Percentage	`60%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 4/15 plus 2/6 as a fraction?

4/15 + 2/6 in simplest fraction form is 3/5.

What is 4/15 plus 2/6 as a decimal?

4/15 + 2/6 converted to a decimal is 0.6.

What is 4/15 plus 2/6 as a percentage?

4/15 + 2/6 expressed as a percentage is 60%.

Does 4/15 plus 2/6 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.6) because the denominator in simplest terms contains only prime factors 2 and/or 5.