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

Exact Answer

==================================================
Problem: What is 3/5 plus 3/5?
Formula / Expression: 3/5 + 3/5
Final Answer: 1 1/5 (6/5)
==================================================

Step-by-Step Solution:

Step 1: Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (5). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 5.
Working: 3/5 + 3/5

Step 2: Add the Numerators
Now add the numerators (3 + 3 = 6) and keep the common denominator 5 unchanged.
Working: 3 + 3/5 = 6/5

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 6 and 5 is 1, confirming that 6/5 cannot be reduced further—it is already in its simplest irreducible form.
Working: 6/5

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (6) is greater than the denominator (5), divide 6 by 5: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/5.
Working: 6/5 = 1 1/5

Step 5: Decimal & Percentage Representation
Dividing the numerator 6 by denominator 5 yields an exact terminating decimal of 1.2 (or 120%).
Working: 6 ÷ 5 = 1.2 (120%)

Key Values:
- Simplified Fraction: 6/5
- Mixed Number Form: 1 1/5
- Decimal Value: 1.2
- Percentage: 120%

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

3/5 + 3/5 = 6/5

Simplified Fraction

6/5

Mixed Number

1 1/5

Decimal Value

1.2

Percentage

120%

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: 3/5 + 3/5

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (5). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 5.

3/5 + 3/5

Step 2

Add the Numerators

Now add the numerators (3 + 3 = 6) and keep the common denominator 5 unchanged.

3 + 3/5 = 6/5

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 6 and 5 is 1, confirming that 6/5 cannot be reduced further—it is already in its simplest irreducible form.

6/5

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (6) is greater than the denominator (5), divide 6 by 5: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/5.

6/5 = 11/5

Step 5

Decimal & Percentage Representation

Dividing the numerator 6 by denominator 5 yields an exact terminating decimal of 1.2 (or 120%).

6 ÷ 5 = 1.2 (120%)

Visual Representation

The diagram below illustrates 3/5 plus 3/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/5`
Mixed Number Form	`1 1/5`
Decimal Form	`1.2`
Percentage	`120%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

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

3/5 + 3/5 in simplest fraction form is 6/5 (or 1 1/5 as a mixed number).

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

3/5 + 3/5 converted to a decimal is 1.2.

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

3/5 + 3/5 expressed as a percentage is 120%.

How do you write 3/5 plus 3/5 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 6/5 can be written as the mixed number 1 1/5.

Does 3/5 plus 3/5 result in a terminating or repeating decimal?

It results in an exact terminating decimal (1.2) because the denominator in simplest terms contains only prime factors 2 and/or 5.