What is 5/20 plus 2/5? (Answer: 13/20)

Exact Answer

==================================================
Problem: What is 5/20 plus 2/5?
Formula / Expression: 5/20 + 2/5
Final Answer: 13/20
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 20 is an exact multiple of 5 (5 × 4 = 20). The Least Common Denominator (LCD) is simply 20, meaning we only need to scale one fraction.
Working: LCD(20, 5) = 20

Step 2: Convert to Equivalent Fractions with Common Denominator 20
Multiply the numerator and denominator of 5/20 by 1, and multiply the numerator and denominator of 2/5 by 4 so both fractions share the common base 20.
Working: 5 × 1/20 × 1 = 5/20 and 2 × 4/5 × 4 = 8/20

Step 3: Add the Numerators
Now add the numerators (5 + 8 = 13) and keep the common denominator 20 unchanged.
Working: 5 + 8/20 = 13/20

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 13 and 20 is 1, confirming that 13/20 cannot be reduced further—it is already in its simplest irreducible form.
Working: 13/20

Step 5: Decimal & Percentage Representation
Dividing the numerator 13 by denominator 20 yields an exact terminating decimal of 0.65 (or 65%).
Working: 13 ÷ 20 = 0.65 (65%)

Key Values:
- Simplified Fraction: 13/20
- Mixed Number Form: 13/20
- Decimal Value: 0.65
- Percentage: 65%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-20-plus-2-5/
==================================================

5/20 + 2/5 = 13/20

Simplified Fraction

13/20

Mixed Number

Proper (13/20)

Decimal Value

0.65

Percentage

65%

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: 5/20 + 2/5

Step 1

Find the Least Common Denominator (LCD)

Notice that 20 is an exact multiple of 5 (5 × 4 = 20). The Least Common Denominator (LCD) is simply 20, meaning we only need to scale one fraction.

LCD(20, 5) = 20

Step 2

Convert to Equivalent Fractions with Common Denominator 20

Multiply the numerator and denominator of 5/20 by 1, and multiply the numerator and denominator of 2/5 by 4 so both fractions share the common base 20.

5 × 1/20 × 1 = 5/20 and 2 × 4/5 × 4 = 8/20

Step 3

Add the Numerators

Now add the numerators (5 + 8 = 13) and keep the common denominator 20 unchanged.

5 + 8/20 = 13/20

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 13 and 20 is 1, confirming that 13/20 cannot be reduced further—it is already in its simplest irreducible form.

13/20

Step 5

Decimal & Percentage Representation

Dividing the numerator 13 by denominator 20 yields an exact terminating decimal of 0.65 (or 65%).

13 ÷ 20 = 0.65 (65%)

Visual Representation

The diagram below illustrates 5/20 plus 2/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/20`
Mixed Number Form	`13/20`
Decimal Form	`0.65`
Percentage	`65%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 5/20 plus 2/5 as a fraction?

5/20 + 2/5 in simplest fraction form is 13/20.

What is 5/20 plus 2/5 as a decimal?

5/20 + 2/5 converted to a decimal is 0.65.

What is 5/20 plus 2/5 as a percentage?

5/20 + 2/5 expressed as a percentage is 65%.

Does 5/20 plus 2/5 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.65) because the denominator in simplest terms contains only prime factors 2 and/or 5.