What is 8/25 plus 2/5? (Answer: 18/25)

Exact Answer

==================================================
Problem: What is 8/25 plus 2/5?
Formula / Expression: 8/25 + 2/5
Final Answer: 18/25
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 25 is an exact multiple of 5 (5 × 5 = 25). The Least Common Denominator (LCD) is simply 25, meaning we only need to scale one fraction.
Working: LCD(25, 5) = 25

Step 2: Convert to Equivalent Fractions with Common Denominator 25
Multiply the numerator and denominator of 8/25 by 1, and multiply the numerator and denominator of 2/5 by 5 so both fractions share the common base 25.
Working: 8 × 1/25 × 1 = 8/25 and 2 × 5/5 × 5 = 10/25

Step 3: Add the Numerators
Now add the numerators (8 + 10 = 18) and keep the common denominator 25 unchanged.
Working: 8 + 10/25 = 18/25

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 18 and 25 is 1, confirming that 18/25 cannot be reduced further—it is already in its simplest irreducible form.
Working: 18/25

Step 5: Decimal & Percentage Representation
Dividing the numerator 18 by denominator 25 yields an exact terminating decimal of 0.72 (or 72%).
Working: 18 ÷ 25 = 0.72 (72%)

Key Values:
- Simplified Fraction: 18/25
- Mixed Number Form: 18/25
- Decimal Value: 0.72
- Percentage: 72%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-8-25-plus-2-5/
==================================================

8/25 + 2/5 = 18/25

Simplified Fraction

18/25

Mixed Number

Proper (18/25)

Decimal Value

0.72

Percentage

72%

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: 8/25 + 2/5

Step 1

Find the Least Common Denominator (LCD)

Notice that 25 is an exact multiple of 5 (5 × 5 = 25). The Least Common Denominator (LCD) is simply 25, meaning we only need to scale one fraction.

LCD(25, 5) = 25

Step 2

Convert to Equivalent Fractions with Common Denominator 25

Multiply the numerator and denominator of 8/25 by 1, and multiply the numerator and denominator of 2/5 by 5 so both fractions share the common base 25.

8 × 1/25 × 1 = 8/25 and 2 × 5/5 × 5 = 10/25

Step 3

Add the Numerators

Now add the numerators (8 + 10 = 18) and keep the common denominator 25 unchanged.

8 + 10/25 = 18/25

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 18 and 25 is 1, confirming that 18/25 cannot be reduced further—it is already in its simplest irreducible form.

18/25

Step 5

Decimal & Percentage Representation

Dividing the numerator 18 by denominator 25 yields an exact terminating decimal of 0.72 (or 72%).

18 ÷ 25 = 0.72 (72%)

Visual Representation

The diagram below illustrates 8/25 plus 2/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`18/25`
Mixed Number Form	`18/25`
Decimal Form	`0.72`
Percentage	`72%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 8/25 plus 2/5 as a fraction?

8/25 + 2/5 in simplest fraction form is 18/25.

What is 8/25 plus 2/5 as a decimal?

8/25 + 2/5 converted to a decimal is 0.72.

What is 8/25 plus 2/5 as a percentage?

8/25 + 2/5 expressed as a percentage is 72%.

Does 8/25 plus 2/5 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.72) because the denominator in simplest terms contains only prime factors 2 and/or 5.