What is 2/35 plus 2/5? (Answer: 16/35)

Exact Answer

==================================================
Problem: What is 2/35 plus 2/5?
Formula / Expression: 2/35 + 2/5
Final Answer: 16/35
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 35 is an exact multiple of 5 (5 × 7 = 35). The Least Common Denominator (LCD) is simply 35, meaning we only need to scale one fraction.
Working: LCD(35, 5) = 35

Step 2: Convert to Equivalent Fractions with Common Denominator 35
Multiply the numerator and denominator of 2/35 by 1, and multiply the numerator and denominator of 2/5 by 7 so both fractions share the common base 35.
Working: 2 × 1/35 × 1 = 2/35 and 2 × 7/5 × 7 = 14/35

Step 3: Add the Numerators
Now add the numerators (2 + 14 = 16) and keep the common denominator 35 unchanged.
Working: 2 + 14/35 = 16/35

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 16 and 35 is 1, confirming that 16/35 cannot be reduced further—it is already in its simplest irreducible form.
Working: 16/35

Step 5: Decimal & Percentage Representation
Dividing the numerator 16 by denominator 35 produces a repeating decimal (approximately 0.457143, or 45.7143%).
Working: 16 ÷ 35 = 0.457143 (45.7143%)

Key Values:
- Simplified Fraction: 16/35
- Mixed Number Form: 16/35
- Decimal Value: 0.457143
- Percentage: 45.7143%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-35-plus-2-5/
==================================================

2/35 + 2/5 = 16/35

Simplified Fraction

16/35

Mixed Number

Proper (16/35)

Decimal Value

0.457143

Percentage

45.7143%

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: 2/35 + 2/5

Step 1

Find the Least Common Denominator (LCD)

Notice that 35 is an exact multiple of 5 (5 × 7 = 35). The Least Common Denominator (LCD) is simply 35, meaning we only need to scale one fraction.

LCD(35, 5) = 35

Step 2

Convert to Equivalent Fractions with Common Denominator 35

Multiply the numerator and denominator of 2/35 by 1, and multiply the numerator and denominator of 2/5 by 7 so both fractions share the common base 35.

2 × 1/35 × 1 = 2/35 and 2 × 7/5 × 7 = 14/35

Step 3

Add the Numerators

Now add the numerators (2 + 14 = 16) and keep the common denominator 35 unchanged.

2 + 14/35 = 16/35

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 16 and 35 is 1, confirming that 16/35 cannot be reduced further—it is already in its simplest irreducible form.

16/35

Step 5

Decimal & Percentage Representation

Dividing the numerator 16 by denominator 35 produces a repeating decimal (approximately 0.457143, or 45.7143%).

16 ÷ 35 = 0.457143 (45.7143%)

Visual Representation

The diagram below illustrates 2/35 plus 2/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`16/35`
Mixed Number Form	`16/35`
Decimal Form	`0.457143`
Percentage	`45.7143%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/35 plus 2/5 as a fraction?

2/35 + 2/5 in simplest fraction form is 16/35.

What is 2/35 plus 2/5 as a decimal?

2/35 + 2/5 converted to a decimal is 0.457143.

What is 2/35 plus 2/5 as a percentage?

2/35 + 2/5 expressed as a percentage is 45.7143%.

Does 2/35 plus 2/5 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.457143...) because the denominator contains prime factors other than 2 and 5.